Highest Common Factor of 9693, 3596 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 9693, 3596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9693, 3596 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 9693, 3596 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 9693, 3596 is 1.

HCF(9693, 3596) = 1

HCF of 9693, 3596 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 9693, 3596 is 1.

Highest Common Factor of 9693,3596 using Euclid's algorithm

Highest Common Factor of 9693,3596 is 1

Step 1: Since 9693 > 3596, we apply the division lemma to 9693 and 3596, to get

9693 = 3596 x 2 + 2501

Step 2: Since the reminder 3596 ≠ 0, we apply division lemma to 2501 and 3596, to get

3596 = 2501 x 1 + 1095

Step 3: We consider the new divisor 2501 and the new remainder 1095, and apply the division lemma to get

2501 = 1095 x 2 + 311

We consider the new divisor 1095 and the new remainder 311,and apply the division lemma to get

1095 = 311 x 3 + 162

We consider the new divisor 311 and the new remainder 162,and apply the division lemma to get

311 = 162 x 1 + 149

We consider the new divisor 162 and the new remainder 149,and apply the division lemma to get

162 = 149 x 1 + 13

We consider the new divisor 149 and the new remainder 13,and apply the division lemma to get

149 = 13 x 11 + 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 9693 and 3596 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(149,13) = HCF(162,149) = HCF(311,162) = HCF(1095,311) = HCF(2501,1095) = HCF(3596,2501) = HCF(9693,3596) .

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Frequently Asked Questions on HCF of 9693, 3596 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 9693, 3596?

Answer: HCF of 9693, 3596 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9693, 3596 using Euclid's Algorithm?

Answer: For arbitrary numbers 9693, 3596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.