Highest Common Factor of 5860, 3201 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 5860, 3201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5860, 3201 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 5860, 3201 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 5860, 3201 is 1.

HCF(5860, 3201) = 1

HCF of 5860, 3201 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 5860, 3201 is 1.

Highest Common Factor of 5860,3201 using Euclid's algorithm

Highest Common Factor of 5860,3201 is 1

Step 1: Since 5860 > 3201, we apply the division lemma to 5860 and 3201, to get

5860 = 3201 x 1 + 2659

Step 2: Since the reminder 3201 ≠ 0, we apply division lemma to 2659 and 3201, to get

3201 = 2659 x 1 + 542

Step 3: We consider the new divisor 2659 and the new remainder 542, and apply the division lemma to get

2659 = 542 x 4 + 491

We consider the new divisor 542 and the new remainder 491,and apply the division lemma to get

542 = 491 x 1 + 51

We consider the new divisor 491 and the new remainder 51,and apply the division lemma to get

491 = 51 x 9 + 32

We consider the new divisor 51 and the new remainder 32,and apply the division lemma to get

51 = 32 x 1 + 19

We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get

32 = 19 x 1 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5860 and 3201 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(51,32) = HCF(491,51) = HCF(542,491) = HCF(2659,542) = HCF(3201,2659) = HCF(5860,3201) .

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Frequently Asked Questions on HCF of 5860, 3201 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 5860, 3201?

Answer: HCF of 5860, 3201 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5860, 3201 using Euclid's Algorithm?

Answer: For arbitrary numbers 5860, 3201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.