Highest Common Factor of 910, 350, 957 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 910, 350, 957 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 910, 350, 957 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 910, 350, 957 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 910, 350, 957 is 1.

HCF(910, 350, 957) = 1

HCF of 910, 350, 957 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 910, 350, 957 is 1.

Highest Common Factor of 910,350,957 using Euclid's algorithm

Highest Common Factor of 910,350,957 is 1

Step 1: Since 910 > 350, we apply the division lemma to 910 and 350, to get

910 = 350 x 2 + 210

Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 210 and 350, to get

350 = 210 x 1 + 140

Step 3: We consider the new divisor 210 and the new remainder 140, and apply the division lemma to get

210 = 140 x 1 + 70

We consider the new divisor 140 and the new remainder 70, and apply the division lemma to get

140 = 70 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 70, the HCF of 910 and 350 is 70

Notice that 70 = HCF(140,70) = HCF(210,140) = HCF(350,210) = HCF(910,350) .

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

Step 1: Since 957 > 70, we apply the division lemma to 957 and 70, to get

957 = 70 x 13 + 47

Step 2: Since the reminder 70 ≠ 0, we apply division lemma to 47 and 70, to get

70 = 47 x 1 + 23

Step 3: We consider the new divisor 47 and the new remainder 23, and apply the division lemma to get

47 = 23 x 2 + 1

We consider the new divisor 23 and the new remainder 1, and apply the division lemma to get

23 = 1 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 70 and 957 is 1

Notice that 1 = HCF(23,1) = HCF(47,23) = HCF(70,47) = HCF(957,70) .

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Frequently Asked Questions on HCF of 910, 350, 957 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 910, 350, 957?

Answer: HCF of 910, 350, 957 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 910, 350, 957 using Euclid's Algorithm?

Answer: For arbitrary numbers 910, 350, 957 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.