Highest Common Factor of 715, 53874 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 715, 53874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 715, 53874 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 715, 53874 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 715, 53874 is 1.

HCF(715, 53874) = 1

HCF of 715, 53874 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 715, 53874 is 1.

Highest Common Factor of 715,53874 using Euclid's algorithm

Highest Common Factor of 715,53874 is 1

Step 1: Since 53874 > 715, we apply the division lemma to 53874 and 715, to get

53874 = 715 x 75 + 249

Step 2: Since the reminder 715 ≠ 0, we apply division lemma to 249 and 715, to get

715 = 249 x 2 + 217

Step 3: We consider the new divisor 249 and the new remainder 217, and apply the division lemma to get

249 = 217 x 1 + 32

We consider the new divisor 217 and the new remainder 32,and apply the division lemma to get

217 = 32 x 6 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 715 and 53874 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(217,32) = HCF(249,217) = HCF(715,249) = HCF(53874,715) .

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Frequently Asked Questions on HCF of 715, 53874 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 715, 53874?

Answer: HCF of 715, 53874 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 715, 53874 using Euclid's Algorithm?

Answer: For arbitrary numbers 715, 53874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.