Highest Common Factor of 9335, 6136 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 9335, 6136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9335, 6136 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 9335, 6136 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 9335, 6136 is 1.

HCF(9335, 6136) = 1

HCF of 9335, 6136 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 9335, 6136 is 1.

Highest Common Factor of 9335,6136 using Euclid's algorithm

Highest Common Factor of 9335,6136 is 1

Step 1: Since 9335 > 6136, we apply the division lemma to 9335 and 6136, to get

9335 = 6136 x 1 + 3199

Step 2: Since the reminder 6136 ≠ 0, we apply division lemma to 3199 and 6136, to get

6136 = 3199 x 1 + 2937

Step 3: We consider the new divisor 3199 and the new remainder 2937, and apply the division lemma to get

3199 = 2937 x 1 + 262

We consider the new divisor 2937 and the new remainder 262,and apply the division lemma to get

2937 = 262 x 11 + 55

We consider the new divisor 262 and the new remainder 55,and apply the division lemma to get

262 = 55 x 4 + 42

We consider the new divisor 55 and the new remainder 42,and apply the division lemma to get

55 = 42 x 1 + 13

We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get

42 = 13 x 3 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 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 9335 and 6136 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(55,42) = HCF(262,55) = HCF(2937,262) = HCF(3199,2937) = HCF(6136,3199) = HCF(9335,6136) .

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Frequently Asked Questions on HCF of 9335, 6136 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 9335, 6136?

Answer: HCF of 9335, 6136 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9335, 6136 using Euclid's Algorithm?

Answer: For arbitrary numbers 9335, 6136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.