Highest Common Factor of 937, 9171, 4172 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 937, 9171, 4172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 9171, 4172 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 937, 9171, 4172 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 937, 9171, 4172 is 1.

HCF(937, 9171, 4172) = 1

HCF of 937, 9171, 4172 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 937, 9171, 4172 is 1.

Highest Common Factor of 937,9171,4172 using Euclid's algorithm

Highest Common Factor of 937,9171,4172 is 1

Step 1: Since 9171 > 937, we apply the division lemma to 9171 and 937, to get

9171 = 937 x 9 + 738

Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 738 and 937, to get

937 = 738 x 1 + 199

Step 3: We consider the new divisor 738 and the new remainder 199, and apply the division lemma to get

738 = 199 x 3 + 141

We consider the new divisor 199 and the new remainder 141,and apply the division lemma to get

199 = 141 x 1 + 58

We consider the new divisor 141 and the new remainder 58,and apply the division lemma to get

141 = 58 x 2 + 25

We consider the new divisor 58 and the new remainder 25,and apply the division lemma to get

58 = 25 x 2 + 8

We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get

25 = 8 x 3 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 9171 is 1

Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(58,25) = HCF(141,58) = HCF(199,141) = HCF(738,199) = HCF(937,738) = HCF(9171,937) .

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

Step 1: Since 4172 > 1, we apply the division lemma to 4172 and 1, to get

4172 = 1 x 4172 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4172 is 1

Notice that 1 = HCF(4172,1) .

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Frequently Asked Questions on HCF of 937, 9171, 4172 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 937, 9171, 4172?

Answer: HCF of 937, 9171, 4172 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 9171, 4172 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 9171, 4172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.