Highest Common Factor of 6373, 9735 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 6373, 9735 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6373, 9735 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 6373, 9735 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 6373, 9735 is 1.

HCF(6373, 9735) = 1

HCF of 6373, 9735 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 6373, 9735 is 1.

Highest Common Factor of 6373,9735 using Euclid's algorithm

Highest Common Factor of 6373,9735 is 1

Step 1: Since 9735 > 6373, we apply the division lemma to 9735 and 6373, to get

9735 = 6373 x 1 + 3362

Step 2: Since the reminder 6373 ≠ 0, we apply division lemma to 3362 and 6373, to get

6373 = 3362 x 1 + 3011

Step 3: We consider the new divisor 3362 and the new remainder 3011, and apply the division lemma to get

3362 = 3011 x 1 + 351

We consider the new divisor 3011 and the new remainder 351,and apply the division lemma to get

3011 = 351 x 8 + 203

We consider the new divisor 351 and the new remainder 203,and apply the division lemma to get

351 = 203 x 1 + 148

We consider the new divisor 203 and the new remainder 148,and apply the division lemma to get

203 = 148 x 1 + 55

We consider the new divisor 148 and the new remainder 55,and apply the division lemma to get

148 = 55 x 2 + 38

We consider the new divisor 55 and the new remainder 38,and apply the division lemma to get

55 = 38 x 1 + 17

We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get

38 = 17 x 2 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6373 and 9735 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(55,38) = HCF(148,55) = HCF(203,148) = HCF(351,203) = HCF(3011,351) = HCF(3362,3011) = HCF(6373,3362) = HCF(9735,6373) .

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Frequently Asked Questions on HCF of 6373, 9735 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 6373, 9735?

Answer: HCF of 6373, 9735 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6373, 9735 using Euclid's Algorithm?

Answer: For arbitrary numbers 6373, 9735 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.