Highest Common Factor of 7912, 5435 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 7912, 5435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7912, 5435 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 7912, 5435 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 7912, 5435 is 1.

HCF(7912, 5435) = 1

HCF of 7912, 5435 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 7912, 5435 is 1.

Highest Common Factor of 7912,5435 using Euclid's algorithm

Highest Common Factor of 7912,5435 is 1

Step 1: Since 7912 > 5435, we apply the division lemma to 7912 and 5435, to get

7912 = 5435 x 1 + 2477

Step 2: Since the reminder 5435 ≠ 0, we apply division lemma to 2477 and 5435, to get

5435 = 2477 x 2 + 481

Step 3: We consider the new divisor 2477 and the new remainder 481, and apply the division lemma to get

2477 = 481 x 5 + 72

We consider the new divisor 481 and the new remainder 72,and apply the division lemma to get

481 = 72 x 6 + 49

We consider the new divisor 72 and the new remainder 49,and apply the division lemma to get

72 = 49 x 1 + 23

We consider the new divisor 49 and the new remainder 23,and apply the division lemma to get

49 = 23 x 2 + 3

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

23 = 3 x 7 + 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 7912 and 5435 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(49,23) = HCF(72,49) = HCF(481,72) = HCF(2477,481) = HCF(5435,2477) = HCF(7912,5435) .

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Frequently Asked Questions on HCF of 7912, 5435 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 7912, 5435?

Answer: HCF of 7912, 5435 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7912, 5435 using Euclid's Algorithm?

Answer: For arbitrary numbers 7912, 5435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.