Highest Common Factor of 2676, 6976 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 2676, 6976 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2676, 6976 is 4 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 2676, 6976 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 2676, 6976 is 4.
HCF(2676, 6976) = 4
HCF of 2676, 6976 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2676, 6976 is 4.
Highest Common Factor of 2676,6976 is 4
Step 1: Since 6976 > 2676, we apply the division lemma to 6976 and 2676, to get
6976 = 2676 x 2 + 1624
Step 2: Since the reminder 2676 ≠ 0, we apply division lemma to 1624 and 2676, to get
2676 = 1624 x 1 + 1052
Step 3: We consider the new divisor 1624 and the new remainder 1052, and apply the division lemma to get
1624 = 1052 x 1 + 572
We consider the new divisor 1052 and the new remainder 572,and apply the division lemma to get
1052 = 572 x 1 + 480
We consider the new divisor 572 and the new remainder 480,and apply the division lemma to get
572 = 480 x 1 + 92
We consider the new divisor 480 and the new remainder 92,and apply the division lemma to get
480 = 92 x 5 + 20
We consider the new divisor 92 and the new remainder 20,and apply the division lemma to get
92 = 20 x 4 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2676 and 6976 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(92,20) = HCF(480,92) = HCF(572,480) = HCF(1052,572) = HCF(1624,1052) = HCF(2676,1624) = HCF(6976,2676) .
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Frequently Asked Questions on HCF of 2676, 6976 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 2676, 6976?
Answer: HCF of 2676, 6976 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2676, 6976 using Euclid's Algorithm?
Answer: For arbitrary numbers 2676, 6976 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.