Highest Common Factor of 2607, 8727 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, 8727 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2607, 8727 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 2607, 8727 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, 8727 is 3.
HCF(2607, 8727) = 3
HCF of 2607, 8727 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, 8727 is 3.
Highest Common Factor of 2607,8727 is 3
Step 1: Since 8727 > 2607, we apply the division lemma to 8727 and 2607, to get
8727 = 2607 x 3 + 906
Step 2: Since the reminder 2607 ≠ 0, we apply division lemma to 906 and 2607, to get
2607 = 906 x 2 + 795
Step 3: We consider the new divisor 906 and the new remainder 795, and apply the division lemma to get
906 = 795 x 1 + 111
We consider the new divisor 795 and the new remainder 111,and apply the division lemma to get
795 = 111 x 7 + 18
We consider the new divisor 111 and the new remainder 18,and apply the division lemma to get
111 = 18 x 6 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2607 and 8727 is 3
Notice that 3 = HCF(18,3) = HCF(111,18) = HCF(795,111) = HCF(906,795) = HCF(2607,906) = HCF(8727,2607) .
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Frequently Asked Questions on HCF of 2607, 8727 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, 8727?
Answer: HCF of 2607, 8727 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2607, 8727 using Euclid's Algorithm?
Answer: For arbitrary numbers 2607, 8727 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.