Highest Common Factor of 4645, 3621 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 4645, 3621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4645, 3621 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 4645, 3621 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 4645, 3621 is 1.

HCF(4645, 3621) = 1

HCF of 4645, 3621 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4645, 3621 is 1.

Highest Common Factor of 4645,3621 using Euclid's algorithm

Highest Common Factor of 4645,3621 is 1

Step 1: Since 4645 > 3621, we apply the division lemma to 4645 and 3621, to get

4645 = 3621 x 1 + 1024

Step 2: Since the reminder 3621 ≠ 0, we apply division lemma to 1024 and 3621, to get

3621 = 1024 x 3 + 549

Step 3: We consider the new divisor 1024 and the new remainder 549, and apply the division lemma to get

1024 = 549 x 1 + 475

We consider the new divisor 549 and the new remainder 475,and apply the division lemma to get

549 = 475 x 1 + 74

We consider the new divisor 475 and the new remainder 74,and apply the division lemma to get

475 = 74 x 6 + 31

We consider the new divisor 74 and the new remainder 31,and apply the division lemma to get

74 = 31 x 2 + 12

We consider the new divisor 31 and the new remainder 12,and apply the division lemma to get

31 = 12 x 2 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4645 and 3621 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(31,12) = HCF(74,31) = HCF(475,74) = HCF(549,475) = HCF(1024,549) = HCF(3621,1024) = HCF(4645,3621) .

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Frequently Asked Questions on HCF of 4645, 3621 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 4645, 3621?

Answer: HCF of 4645, 3621 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4645, 3621 using Euclid's Algorithm?

Answer: For arbitrary numbers 4645, 3621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.