Highest Common Factor of 3671, 5406 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 3671, 5406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3671, 5406 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 3671, 5406 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 3671, 5406 is 1.

HCF(3671, 5406) = 1

HCF of 3671, 5406 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 3671, 5406 is 1.

Highest Common Factor of 3671,5406 using Euclid's algorithm

Highest Common Factor of 3671,5406 is 1

Step 1: Since 5406 > 3671, we apply the division lemma to 5406 and 3671, to get

5406 = 3671 x 1 + 1735

Step 2: Since the reminder 3671 ≠ 0, we apply division lemma to 1735 and 3671, to get

3671 = 1735 x 2 + 201

Step 3: We consider the new divisor 1735 and the new remainder 201, and apply the division lemma to get

1735 = 201 x 8 + 127

We consider the new divisor 201 and the new remainder 127,and apply the division lemma to get

201 = 127 x 1 + 74

We consider the new divisor 127 and the new remainder 74,and apply the division lemma to get

127 = 74 x 1 + 53

We consider the new divisor 74 and the new remainder 53,and apply the division lemma to get

74 = 53 x 1 + 21

We consider the new divisor 53 and the new remainder 21,and apply the division lemma to get

53 = 21 x 2 + 11

We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get

21 = 11 x 1 + 10

We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get

11 = 10 x 1 + 1

We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get

10 = 1 x 10 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3671 and 5406 is 1

Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(53,21) = HCF(74,53) = HCF(127,74) = HCF(201,127) = HCF(1735,201) = HCF(3671,1735) = HCF(5406,3671) .

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Frequently Asked Questions on HCF of 3671, 5406 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 3671, 5406?

Answer: HCF of 3671, 5406 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3671, 5406 using Euclid's Algorithm?

Answer: For arbitrary numbers 3671, 5406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.