Highest Common Factor of 9925, 8262 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 9925, 8262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9925, 8262 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 9925, 8262 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 9925, 8262 is 1.

HCF(9925, 8262) = 1

HCF of 9925, 8262 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 9925, 8262 is 1.

Highest Common Factor of 9925,8262 using Euclid's algorithm

Highest Common Factor of 9925,8262 is 1

Step 1: Since 9925 > 8262, we apply the division lemma to 9925 and 8262, to get

9925 = 8262 x 1 + 1663

Step 2: Since the reminder 8262 ≠ 0, we apply division lemma to 1663 and 8262, to get

8262 = 1663 x 4 + 1610

Step 3: We consider the new divisor 1663 and the new remainder 1610, and apply the division lemma to get

1663 = 1610 x 1 + 53

We consider the new divisor 1610 and the new remainder 53,and apply the division lemma to get

1610 = 53 x 30 + 20

We consider the new divisor 53 and the new remainder 20,and apply the division lemma to get

53 = 20 x 2 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9925 and 8262 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(53,20) = HCF(1610,53) = HCF(1663,1610) = HCF(8262,1663) = HCF(9925,8262) .

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Frequently Asked Questions on HCF of 9925, 8262 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 9925, 8262?

Answer: HCF of 9925, 8262 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9925, 8262 using Euclid's Algorithm?

Answer: For arbitrary numbers 9925, 8262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.