Highest Common Factor of 2656, 9946 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 2656, 9946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2656, 9946 is 2 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 2656, 9946 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 2656, 9946 is 2.
HCF(2656, 9946) = 2
HCF of 2656, 9946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2656, 9946 is 2.
Highest Common Factor of 2656,9946 is 2
Step 1: Since 9946 > 2656, we apply the division lemma to 9946 and 2656, to get
9946 = 2656 x 3 + 1978
Step 2: Since the reminder 2656 ≠ 0, we apply division lemma to 1978 and 2656, to get
2656 = 1978 x 1 + 678
Step 3: We consider the new divisor 1978 and the new remainder 678, and apply the division lemma to get
1978 = 678 x 2 + 622
We consider the new divisor 678 and the new remainder 622,and apply the division lemma to get
678 = 622 x 1 + 56
We consider the new divisor 622 and the new remainder 56,and apply the division lemma to get
622 = 56 x 11 + 6
We consider the new divisor 56 and the new remainder 6,and apply the division lemma to get
56 = 6 x 9 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2656 and 9946 is 2
Notice that 2 = HCF(6,2) = HCF(56,6) = HCF(622,56) = HCF(678,622) = HCF(1978,678) = HCF(2656,1978) = HCF(9946,2656) .
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Frequently Asked Questions on HCF of 2656, 9946 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 2656, 9946?
Answer: HCF of 2656, 9946 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2656, 9946 using Euclid's Algorithm?
Answer: For arbitrary numbers 2656, 9946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.