Highest Common Factor of 6763, 9959 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 6763, 9959 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6763, 9959 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 6763, 9959 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 6763, 9959 is 1.

HCF(6763, 9959) = 1

HCF of 6763, 9959 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 6763, 9959 is 1.

Highest Common Factor of 6763,9959 using Euclid's algorithm

Highest Common Factor of 6763,9959 is 1

Step 1: Since 9959 > 6763, we apply the division lemma to 9959 and 6763, to get

9959 = 6763 x 1 + 3196

Step 2: Since the reminder 6763 ≠ 0, we apply division lemma to 3196 and 6763, to get

6763 = 3196 x 2 + 371

Step 3: We consider the new divisor 3196 and the new remainder 371, and apply the division lemma to get

3196 = 371 x 8 + 228

We consider the new divisor 371 and the new remainder 228,and apply the division lemma to get

371 = 228 x 1 + 143

We consider the new divisor 228 and the new remainder 143,and apply the division lemma to get

228 = 143 x 1 + 85

We consider the new divisor 143 and the new remainder 85,and apply the division lemma to get

143 = 85 x 1 + 58

We consider the new divisor 85 and the new remainder 58,and apply the division lemma to get

85 = 58 x 1 + 27

We consider the new divisor 58 and the new remainder 27,and apply the division lemma to get

58 = 27 x 2 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 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 6763 and 9959 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(58,27) = HCF(85,58) = HCF(143,85) = HCF(228,143) = HCF(371,228) = HCF(3196,371) = HCF(6763,3196) = HCF(9959,6763) .

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Frequently Asked Questions on HCF of 6763, 9959 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 6763, 9959?

Answer: HCF of 6763, 9959 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6763, 9959 using Euclid's Algorithm?

Answer: For arbitrary numbers 6763, 9959 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.