Highest Common Factor of 2607, 9676 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 2607, 9676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2607, 9676 is 1 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 2607, 9676 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 2607, 9676 is 1.
HCF(2607, 9676) = 1
HCF of 2607, 9676 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2607, 9676 is 1.
Highest Common Factor of 2607,9676 is 1
Step 1: Since 9676 > 2607, we apply the division lemma to 9676 and 2607, to get
9676 = 2607 x 3 + 1855
Step 2: Since the reminder 2607 ≠ 0, we apply division lemma to 1855 and 2607, to get
2607 = 1855 x 1 + 752
Step 3: We consider the new divisor 1855 and the new remainder 752, and apply the division lemma to get
1855 = 752 x 2 + 351
We consider the new divisor 752 and the new remainder 351,and apply the division lemma to get
752 = 351 x 2 + 50
We consider the new divisor 351 and the new remainder 50,and apply the division lemma to get
351 = 50 x 7 + 1
We consider the new divisor 50 and the new remainder 1,and apply the division lemma to get
50 = 1 x 50 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2607 and 9676 is 1
Notice that 1 = HCF(50,1) = HCF(351,50) = HCF(752,351) = HCF(1855,752) = HCF(2607,1855) = HCF(9676,2607) .
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Frequently Asked Questions on HCF of 2607, 9676 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 2607, 9676?
Answer: HCF of 2607, 9676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2607, 9676 using Euclid's Algorithm?
Answer: For arbitrary numbers 2607, 9676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.