Highest Common Factor of 431, 51963 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 431, 51963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 431, 51963 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 431, 51963 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 431, 51963 is 1.

HCF(431, 51963) = 1

HCF of 431, 51963 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 431, 51963 is 1.

Highest Common Factor of 431,51963 using Euclid's algorithm

Highest Common Factor of 431,51963 is 1

Step 1: Since 51963 > 431, we apply the division lemma to 51963 and 431, to get

51963 = 431 x 120 + 243

Step 2: Since the reminder 431 ≠ 0, we apply division lemma to 243 and 431, to get

431 = 243 x 1 + 188

Step 3: We consider the new divisor 243 and the new remainder 188, and apply the division lemma to get

243 = 188 x 1 + 55

We consider the new divisor 188 and the new remainder 55,and apply the division lemma to get

188 = 55 x 3 + 23

We consider the new divisor 55 and the new remainder 23,and apply the division lemma to get

55 = 23 x 2 + 9

We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get

23 = 9 x 2 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 431 and 51963 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(55,23) = HCF(188,55) = HCF(243,188) = HCF(431,243) = HCF(51963,431) .

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Frequently Asked Questions on HCF of 431, 51963 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 431, 51963?

Answer: HCF of 431, 51963 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 431, 51963 using Euclid's Algorithm?

Answer: For arbitrary numbers 431, 51963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.