Highest Common Factor of 8927, 2676 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 8927, 2676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8927, 2676 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 8927, 2676 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 8927, 2676 is 1.
HCF(8927, 2676) = 1
HCF of 8927, 2676 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8927, 2676 is 1.
Highest Common Factor of 8927,2676 is 1
Step 1: Since 8927 > 2676, we apply the division lemma to 8927 and 2676, to get
8927 = 2676 x 3 + 899
Step 2: Since the reminder 2676 ≠ 0, we apply division lemma to 899 and 2676, to get
2676 = 899 x 2 + 878
Step 3: We consider the new divisor 899 and the new remainder 878, and apply the division lemma to get
899 = 878 x 1 + 21
We consider the new divisor 878 and the new remainder 21,and apply the division lemma to get
878 = 21 x 41 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8927 and 2676 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(878,21) = HCF(899,878) = HCF(2676,899) = HCF(8927,2676) .
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Frequently Asked Questions on HCF of 8927, 2676 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 8927, 2676?
Answer: HCF of 8927, 2676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8927, 2676 using Euclid's Algorithm?
Answer: For arbitrary numbers 8927, 2676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.