Highest Common Factor of 926, 9520 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 926, 9520 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 926, 9520 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 926, 9520 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 926, 9520 is 2.

HCF(926, 9520) = 2

HCF of 926, 9520 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 926, 9520 is 2.

Highest Common Factor of 926,9520 using Euclid's algorithm

Highest Common Factor of 926,9520 is 2

Step 1: Since 9520 > 926, we apply the division lemma to 9520 and 926, to get

9520 = 926 x 10 + 260

Step 2: Since the reminder 926 ≠ 0, we apply division lemma to 260 and 926, to get

926 = 260 x 3 + 146

Step 3: We consider the new divisor 260 and the new remainder 146, and apply the division lemma to get

260 = 146 x 1 + 114

We consider the new divisor 146 and the new remainder 114,and apply the division lemma to get

146 = 114 x 1 + 32

We consider the new divisor 114 and the new remainder 32,and apply the division lemma to get

114 = 32 x 3 + 18

We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get

32 = 18 x 1 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 926 and 9520 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(114,32) = HCF(146,114) = HCF(260,146) = HCF(926,260) = HCF(9520,926) .

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Frequently Asked Questions on HCF of 926, 9520 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 926, 9520?

Answer: HCF of 926, 9520 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 926, 9520 using Euclid's Algorithm?

Answer: For arbitrary numbers 926, 9520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.