Highest Common Factor of 937, 97108 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, 97108 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 937, 97108 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, 97108 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, 97108 is 1.

HCF(937, 97108) = 1

HCF of 937, 97108 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, 97108 is 1.

Highest Common Factor of 937,97108 using Euclid's algorithm

Highest Common Factor of 937,97108 is 1

Step 1: Since 97108 > 937, we apply the division lemma to 97108 and 937, to get

97108 = 937 x 103 + 597

Step 2: Since the reminder 937 ≠ 0, we apply division lemma to 597 and 937, to get

937 = 597 x 1 + 340

Step 3: We consider the new divisor 597 and the new remainder 340, and apply the division lemma to get

597 = 340 x 1 + 257

We consider the new divisor 340 and the new remainder 257,and apply the division lemma to get

340 = 257 x 1 + 83

We consider the new divisor 257 and the new remainder 83,and apply the division lemma to get

257 = 83 x 3 + 8

We consider the new divisor 83 and the new remainder 8,and apply the division lemma to get

83 = 8 x 10 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 937 and 97108 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(83,8) = HCF(257,83) = HCF(340,257) = HCF(597,340) = HCF(937,597) = HCF(97108,937) .

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Frequently Asked Questions on HCF of 937, 97108 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, 97108?

Answer: HCF of 937, 97108 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 937, 97108 using Euclid's Algorithm?

Answer: For arbitrary numbers 937, 97108 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.