Highest Common Factor of 9939, 6745 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 9939, 6745 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9939, 6745 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 9939, 6745 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 9939, 6745 is 1.

HCF(9939, 6745) = 1

HCF of 9939, 6745 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 9939, 6745 is 1.

Highest Common Factor of 9939,6745 using Euclid's algorithm

Highest Common Factor of 9939,6745 is 1

Step 1: Since 9939 > 6745, we apply the division lemma to 9939 and 6745, to get

9939 = 6745 x 1 + 3194

Step 2: Since the reminder 6745 ≠ 0, we apply division lemma to 3194 and 6745, to get

6745 = 3194 x 2 + 357

Step 3: We consider the new divisor 3194 and the new remainder 357, and apply the division lemma to get

3194 = 357 x 8 + 338

We consider the new divisor 357 and the new remainder 338,and apply the division lemma to get

357 = 338 x 1 + 19

We consider the new divisor 338 and the new remainder 19,and apply the division lemma to get

338 = 19 x 17 + 15

We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get

19 = 15 x 1 + 4

We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get

15 = 4 x 3 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 9939 and 6745 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(338,19) = HCF(357,338) = HCF(3194,357) = HCF(6745,3194) = HCF(9939,6745) .

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Frequently Asked Questions on HCF of 9939, 6745 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 9939, 6745?

Answer: HCF of 9939, 6745 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9939, 6745 using Euclid's Algorithm?

Answer: For arbitrary numbers 9939, 6745 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.