Highest Common Factor of 8926, 2566 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 8926, 2566 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8926, 2566 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 8926, 2566 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 8926, 2566 is 2.
HCF(8926, 2566) = 2
HCF of 8926, 2566 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8926, 2566 is 2.
Highest Common Factor of 8926,2566 is 2
Step 1: Since 8926 > 2566, we apply the division lemma to 8926 and 2566, to get
8926 = 2566 x 3 + 1228
Step 2: Since the reminder 2566 ≠ 0, we apply division lemma to 1228 and 2566, to get
2566 = 1228 x 2 + 110
Step 3: We consider the new divisor 1228 and the new remainder 110, and apply the division lemma to get
1228 = 110 x 11 + 18
We consider the new divisor 110 and the new remainder 18,and apply the division lemma to get
110 = 18 x 6 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8926 and 2566 is 2
Notice that 2 = HCF(18,2) = HCF(110,18) = HCF(1228,110) = HCF(2566,1228) = HCF(8926,2566) .
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Frequently Asked Questions on HCF of 8926, 2566 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 8926, 2566?
Answer: HCF of 8926, 2566 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8926, 2566 using Euclid's Algorithm?
Answer: For arbitrary numbers 8926, 2566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.