Highest Common Factor of 9522, 3250, 31395 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 9522, 3250, 31395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9522, 3250, 31395 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 9522, 3250, 31395 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 9522, 3250, 31395 is 1.

HCF(9522, 3250, 31395) = 1

HCF of 9522, 3250, 31395 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 9522, 3250, 31395 is 1.

Highest Common Factor of 9522,3250,31395 using Euclid's algorithm

Highest Common Factor of 9522,3250,31395 is 1

Step 1: Since 9522 > 3250, we apply the division lemma to 9522 and 3250, to get

9522 = 3250 x 2 + 3022

Step 2: Since the reminder 3250 ≠ 0, we apply division lemma to 3022 and 3250, to get

3250 = 3022 x 1 + 228

Step 3: We consider the new divisor 3022 and the new remainder 228, and apply the division lemma to get

3022 = 228 x 13 + 58

We consider the new divisor 228 and the new remainder 58,and apply the division lemma to get

228 = 58 x 3 + 54

We consider the new divisor 58 and the new remainder 54,and apply the division lemma to get

58 = 54 x 1 + 4

We consider the new divisor 54 and the new remainder 4,and apply the division lemma to get

54 = 4 x 13 + 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 9522 and 3250 is 2

Notice that 2 = HCF(4,2) = HCF(54,4) = HCF(58,54) = HCF(228,58) = HCF(3022,228) = HCF(3250,3022) = HCF(9522,3250) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 31395 > 2, we apply the division lemma to 31395 and 2, to get

31395 = 2 x 15697 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 31395 is 1

Notice that 1 = HCF(2,1) = HCF(31395,2) .

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Frequently Asked Questions on HCF of 9522, 3250, 31395 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 9522, 3250, 31395?

Answer: HCF of 9522, 3250, 31395 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9522, 3250, 31395 using Euclid's Algorithm?

Answer: For arbitrary numbers 9522, 3250, 31395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.