Highest Common Factor of 3567, 4375 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 3567, 4375 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3567, 4375 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 3567, 4375 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 3567, 4375 is 1.

HCF(3567, 4375) = 1

HCF of 3567, 4375 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 3567, 4375 is 1.

Highest Common Factor of 3567,4375 using Euclid's algorithm

Highest Common Factor of 3567,4375 is 1

Step 1: Since 4375 > 3567, we apply the division lemma to 4375 and 3567, to get

4375 = 3567 x 1 + 808

Step 2: Since the reminder 3567 ≠ 0, we apply division lemma to 808 and 3567, to get

3567 = 808 x 4 + 335

Step 3: We consider the new divisor 808 and the new remainder 335, and apply the division lemma to get

808 = 335 x 2 + 138

We consider the new divisor 335 and the new remainder 138,and apply the division lemma to get

335 = 138 x 2 + 59

We consider the new divisor 138 and the new remainder 59,and apply the division lemma to get

138 = 59 x 2 + 20

We consider the new divisor 59 and the new remainder 20,and apply the division lemma to get

59 = 20 x 2 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3567 and 4375 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(59,20) = HCF(138,59) = HCF(335,138) = HCF(808,335) = HCF(3567,808) = HCF(4375,3567) .

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Frequently Asked Questions on HCF of 3567, 4375 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 3567, 4375?

Answer: HCF of 3567, 4375 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3567, 4375 using Euclid's Algorithm?

Answer: For arbitrary numbers 3567, 4375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.