Highest Common Factor of 9921, 6467, 29769 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 9921, 6467, 29769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9921, 6467, 29769 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 9921, 6467, 29769 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 9921, 6467, 29769 is 1.

HCF(9921, 6467, 29769) = 1

HCF of 9921, 6467, 29769 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 9921, 6467, 29769 is 1.

Highest Common Factor of 9921,6467,29769 using Euclid's algorithm

Highest Common Factor of 9921,6467,29769 is 1

Step 1: Since 9921 > 6467, we apply the division lemma to 9921 and 6467, to get

9921 = 6467 x 1 + 3454

Step 2: Since the reminder 6467 ≠ 0, we apply division lemma to 3454 and 6467, to get

6467 = 3454 x 1 + 3013

Step 3: We consider the new divisor 3454 and the new remainder 3013, and apply the division lemma to get

3454 = 3013 x 1 + 441

We consider the new divisor 3013 and the new remainder 441,and apply the division lemma to get

3013 = 441 x 6 + 367

We consider the new divisor 441 and the new remainder 367,and apply the division lemma to get

441 = 367 x 1 + 74

We consider the new divisor 367 and the new remainder 74,and apply the division lemma to get

367 = 74 x 4 + 71

We consider the new divisor 74 and the new remainder 71,and apply the division lemma to get

74 = 71 x 1 + 3

We consider the new divisor 71 and the new remainder 3,and apply the division lemma to get

71 = 3 x 23 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9921 and 6467 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(71,3) = HCF(74,71) = HCF(367,74) = HCF(441,367) = HCF(3013,441) = HCF(3454,3013) = HCF(6467,3454) = HCF(9921,6467) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 29769 > 1, we apply the division lemma to 29769 and 1, to get

29769 = 1 x 29769 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29769 is 1

Notice that 1 = HCF(29769,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9921, 6467, 29769 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 9921, 6467, 29769?

Answer: HCF of 9921, 6467, 29769 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9921, 6467, 29769 using Euclid's Algorithm?

Answer: For arbitrary numbers 9921, 6467, 29769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.