Highest Common Factor of 5208, 3655 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 5208, 3655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5208, 3655 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 5208, 3655 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 5208, 3655 is 1.

HCF(5208, 3655) = 1

HCF of 5208, 3655 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 5208, 3655 is 1.

Highest Common Factor of 5208,3655 using Euclid's algorithm

Highest Common Factor of 5208,3655 is 1

Step 1: Since 5208 > 3655, we apply the division lemma to 5208 and 3655, to get

5208 = 3655 x 1 + 1553

Step 2: Since the reminder 3655 ≠ 0, we apply division lemma to 1553 and 3655, to get

3655 = 1553 x 2 + 549

Step 3: We consider the new divisor 1553 and the new remainder 549, and apply the division lemma to get

1553 = 549 x 2 + 455

We consider the new divisor 549 and the new remainder 455,and apply the division lemma to get

549 = 455 x 1 + 94

We consider the new divisor 455 and the new remainder 94,and apply the division lemma to get

455 = 94 x 4 + 79

We consider the new divisor 94 and the new remainder 79,and apply the division lemma to get

94 = 79 x 1 + 15

We consider the new divisor 79 and the new remainder 15,and apply the division lemma to get

79 = 15 x 5 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 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 5208 and 3655 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(79,15) = HCF(94,79) = HCF(455,94) = HCF(549,455) = HCF(1553,549) = HCF(3655,1553) = HCF(5208,3655) .

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Frequently Asked Questions on HCF of 5208, 3655 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 5208, 3655?

Answer: HCF of 5208, 3655 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5208, 3655 using Euclid's Algorithm?

Answer: For arbitrary numbers 5208, 3655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.