Highest Common Factor of 6516, 9795 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 6516, 9795 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6516, 9795 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 6516, 9795 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 6516, 9795 is 3.
HCF(6516, 9795) = 3
HCF of 6516, 9795 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6516, 9795 is 3.
Highest Common Factor of 6516,9795 is 3
Step 1: Since 9795 > 6516, we apply the division lemma to 9795 and 6516, to get
9795 = 6516 x 1 + 3279
Step 2: Since the reminder 6516 ≠ 0, we apply division lemma to 3279 and 6516, to get
6516 = 3279 x 1 + 3237
Step 3: We consider the new divisor 3279 and the new remainder 3237, and apply the division lemma to get
3279 = 3237 x 1 + 42
We consider the new divisor 3237 and the new remainder 42,and apply the division lemma to get
3237 = 42 x 77 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6516 and 9795 is 3
Notice that 3 = HCF(42,3) = HCF(3237,42) = HCF(3279,3237) = HCF(6516,3279) = HCF(9795,6516) .
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Frequently Asked Questions on HCF of 6516, 9795 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 6516, 9795?
Answer: HCF of 6516, 9795 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6516, 9795 using Euclid's Algorithm?
Answer: For arbitrary numbers 6516, 9795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
