Highest Common Factor of 9927, 6490 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 9927, 6490 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9927, 6490 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 9927, 6490 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 9927, 6490 is 1.

HCF(9927, 6490) = 1

HCF of 9927, 6490 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 9927, 6490 is 1.

Highest Common Factor of 9927,6490 using Euclid's algorithm

Highest Common Factor of 9927,6490 is 1

Step 1: Since 9927 > 6490, we apply the division lemma to 9927 and 6490, to get

9927 = 6490 x 1 + 3437

Step 2: Since the reminder 6490 ≠ 0, we apply division lemma to 3437 and 6490, to get

6490 = 3437 x 1 + 3053

Step 3: We consider the new divisor 3437 and the new remainder 3053, and apply the division lemma to get

3437 = 3053 x 1 + 384

We consider the new divisor 3053 and the new remainder 384,and apply the division lemma to get

3053 = 384 x 7 + 365

We consider the new divisor 384 and the new remainder 365,and apply the division lemma to get

384 = 365 x 1 + 19

We consider the new divisor 365 and the new remainder 19,and apply the division lemma to get

365 = 19 x 19 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 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 9927 and 6490 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(365,19) = HCF(384,365) = HCF(3053,384) = HCF(3437,3053) = HCF(6490,3437) = HCF(9927,6490) .

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Frequently Asked Questions on HCF of 9927, 6490 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 9927, 6490?

Answer: HCF of 9927, 6490 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9927, 6490 using Euclid's Algorithm?

Answer: For arbitrary numbers 9927, 6490 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.