Table of Contents
What is the HCF of 1305 1365 and 1530?
So the required HCF is 15.
How do you find the HCF using the division algorithm?
Step 1: Apply the division lemma to find q and r where a=bq+r ,0⩽rEuclid’s lemma to b and r. Step 3: Continue the process till the remainder is zero.
What is the HCF of 1305?
s the HCF of 1305, 1365 and 1530 is 15.
How do you find the HCF of 196 and 38220 by division algorithm?
HCF of 196 and 38220 by Prime Factorization Prime factorization of 196 and 38220 is (2 × 2 × 7 × 7) and (2 × 2 × 3 × 5 × 7 × 7 × 13) respectively. As visible, 196 and 38220 have common prime factors. Hence, the HCF of 196 and 38220 is 2 × 2 × 7 × 7 = 196.
How do you find the HCF by Euclids division Lemma?
Euclid’s division algorithm is a way to find the HCF of two numbers by using Euclid’s division lemma. It states that if there are any two integers a and b, there exists q and r such that it satisfies the given condition a = bq + r where 0 ≤ r < b.
What is the HCF of 225 and 867?
3
Answer: HCF of 867 and 225 is 3.
What is the HCF of 1305 4665 and 6905?
If we simply find the H.C.F of 1305, 4665, and 6905 it is 5 and there is no remainder. But 5 is not the greatest number that can divide 1305, 4665, and 6905 if we can have a remainder. Now, where N is the Highest Common Factor of 2240, 3360, and 5600 that will leave the same remainder.
What is the HCF of 38220 and 195?
So from the above relation is seen that remainder zero is obtained. So the HCF of 38220 and 196 is 195.
How do you find the HCF of 867 and 255?
HCF of 867 and 255 by Prime Factorization Prime factorization of 867 and 255 is (3 × 17 × 17) and (3 × 5 × 17) respectively. As visible, 867 and 255 have common prime factors. Hence, the HCF of 867 and 255 is 3 × 17 = 51.
What is the HCF of 12 and 15?
1 and 3 are the only common factors (numbers which are factors of both 12 and 15). Therefore, the highest common factor of 12 and 15 is 3.
How to find the HCF of given numbers with Euclid’s Division lemma?
Follow the below steps to find the HCF of given numbers with Euclid’s Division Lemma: Step 1: Apply Euclid’s division lemma, to a and b. So, we find whole numbers, q and r such that a = bq + r, 0 ≤ r < b. Step 2: If r = 0, b is the HCF of a and b.
What is the required HCF of 1305 1365 1530?
Find the HCF of 1305,1365,1530 by Euclid’s division algorithm. See what the community says and unlock a badge. So the required HCF is 15.
How does Euclid’s Division lemma algorithm work?
Thus, Euclid’s Division Lemma algorithm works because HCF (a, b) = HCF (b, r) where the symbol HCF (a, b) denotes the HCF of a and b, Example: Use Euclid’s algorithm to find the HCF of 36 and 96.
How do you find the HCF of a set of integers?
You can easily find HCF of a set of integers by Euclid’s division lemma along with a detailed explanation from our page. Enter the inputs and get the HCF of two or more numbers which is solved by using Euclid’s division lemma method with neat & understandable steps.