Highest Common Factor of 6535, 4598 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 6535, 4598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6535, 4598 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 6535, 4598 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 6535, 4598 is 1.

HCF(6535, 4598) = 1

HCF of 6535, 4598 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 6535, 4598 is 1.

Highest Common Factor of 6535,4598 using Euclid's algorithm

Highest Common Factor of 6535,4598 is 1

Step 1: Since 6535 > 4598, we apply the division lemma to 6535 and 4598, to get

6535 = 4598 x 1 + 1937

Step 2: Since the reminder 4598 ≠ 0, we apply division lemma to 1937 and 4598, to get

4598 = 1937 x 2 + 724

Step 3: We consider the new divisor 1937 and the new remainder 724, and apply the division lemma to get

1937 = 724 x 2 + 489

We consider the new divisor 724 and the new remainder 489,and apply the division lemma to get

724 = 489 x 1 + 235

We consider the new divisor 489 and the new remainder 235,and apply the division lemma to get

489 = 235 x 2 + 19

We consider the new divisor 235 and the new remainder 19,and apply the division lemma to get

235 = 19 x 12 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 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 6535 and 4598 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(235,19) = HCF(489,235) = HCF(724,489) = HCF(1937,724) = HCF(4598,1937) = HCF(6535,4598) .

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Frequently Asked Questions on HCF of 6535, 4598 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 6535, 4598?

Answer: HCF of 6535, 4598 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6535, 4598 using Euclid's Algorithm?

Answer: For arbitrary numbers 6535, 4598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.