Highest Common Factor of 957, 698, 912 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 957, 698, 912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 957, 698, 912 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 957, 698, 912 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 957, 698, 912 is 1.

HCF(957, 698, 912) = 1

HCF of 957, 698, 912 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 957, 698, 912 is 1.

Highest Common Factor of 957,698,912 using Euclid's algorithm

Highest Common Factor of 957,698,912 is 1

Step 1: Since 957 > 698, we apply the division lemma to 957 and 698, to get

957 = 698 x 1 + 259

Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 259 and 698, to get

698 = 259 x 2 + 180

Step 3: We consider the new divisor 259 and the new remainder 180, and apply the division lemma to get

259 = 180 x 1 + 79

We consider the new divisor 180 and the new remainder 79,and apply the division lemma to get

180 = 79 x 2 + 22

We consider the new divisor 79 and the new remainder 22,and apply the division lemma to get

79 = 22 x 3 + 13

We consider the new divisor 22 and the new remainder 13,and apply the division lemma to get

22 = 13 x 1 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 698 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(22,13) = HCF(79,22) = HCF(180,79) = HCF(259,180) = HCF(698,259) = HCF(957,698) .

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

Step 1: Since 912 > 1, we apply the division lemma to 912 and 1, to get

912 = 1 x 912 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 912 is 1

Notice that 1 = HCF(912,1) .

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Frequently Asked Questions on HCF of 957, 698, 912 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 957, 698, 912?

Answer: HCF of 957, 698, 912 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 957, 698, 912 using Euclid's Algorithm?

Answer: For arbitrary numbers 957, 698, 912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.