Highest Common Factor of 237, 835, 457, 31 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 237, 835, 457, 31 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 237, 835, 457, 31 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 237, 835, 457, 31 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 237, 835, 457, 31 is 1.

HCF(237, 835, 457, 31) = 1

HCF of 237, 835, 457, 31 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 237, 835, 457, 31 is 1.

Highest Common Factor of 237,835,457,31 using Euclid's algorithm

Highest Common Factor of 237,835,457,31 is 1

Step 1: Since 835 > 237, we apply the division lemma to 835 and 237, to get

835 = 237 x 3 + 124

Step 2: Since the reminder 237 ≠ 0, we apply division lemma to 124 and 237, to get

237 = 124 x 1 + 113

Step 3: We consider the new divisor 124 and the new remainder 113, and apply the division lemma to get

124 = 113 x 1 + 11

We consider the new divisor 113 and the new remainder 11,and apply the division lemma to get

113 = 11 x 10 + 3

We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get

11 = 3 x 3 + 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 237 and 835 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(113,11) = HCF(124,113) = HCF(237,124) = HCF(835,237) .

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

Step 1: Since 457 > 1, we apply the division lemma to 457 and 1, to get

457 = 1 x 457 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 457 is 1

Notice that 1 = HCF(457,1) .

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

Step 1: Since 31 > 1, we apply the division lemma to 31 and 1, to get

31 = 1 x 31 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31 is 1

Notice that 1 = HCF(31,1) .

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Frequently Asked Questions on HCF of 237, 835, 457, 31 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 237, 835, 457, 31?

Answer: HCF of 237, 835, 457, 31 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 237, 835, 457, 31 using Euclid's Algorithm?

Answer: For arbitrary numbers 237, 835, 457, 31 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.