Highest Common Factor of 9913, 6602 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 9913, 6602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9913, 6602 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 9913, 6602 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 9913, 6602 is 1.

HCF(9913, 6602) = 1

HCF of 9913, 6602 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 9913, 6602 is 1.

Highest Common Factor of 9913,6602 using Euclid's algorithm

Highest Common Factor of 9913,6602 is 1

Step 1: Since 9913 > 6602, we apply the division lemma to 9913 and 6602, to get

9913 = 6602 x 1 + 3311

Step 2: Since the reminder 6602 ≠ 0, we apply division lemma to 3311 and 6602, to get

6602 = 3311 x 1 + 3291

Step 3: We consider the new divisor 3311 and the new remainder 3291, and apply the division lemma to get

3311 = 3291 x 1 + 20

We consider the new divisor 3291 and the new remainder 20,and apply the division lemma to get

3291 = 20 x 164 + 11

We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get

20 = 11 x 1 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 9913 and 6602 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(3291,20) = HCF(3311,3291) = HCF(6602,3311) = HCF(9913,6602) .

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Frequently Asked Questions on HCF of 9913, 6602 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 9913, 6602?

Answer: HCF of 9913, 6602 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9913, 6602 using Euclid's Algorithm?

Answer: For arbitrary numbers 9913, 6602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.