Highest Common Factor of 9719, 5272 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 9719, 5272 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9719, 5272 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 9719, 5272 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 9719, 5272 is 1.

HCF(9719, 5272) = 1

HCF of 9719, 5272 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 9719, 5272 is 1.

Highest Common Factor of 9719,5272 using Euclid's algorithm

Highest Common Factor of 9719,5272 is 1

Step 1: Since 9719 > 5272, we apply the division lemma to 9719 and 5272, to get

9719 = 5272 x 1 + 4447

Step 2: Since the reminder 5272 ≠ 0, we apply division lemma to 4447 and 5272, to get

5272 = 4447 x 1 + 825

Step 3: We consider the new divisor 4447 and the new remainder 825, and apply the division lemma to get

4447 = 825 x 5 + 322

We consider the new divisor 825 and the new remainder 322,and apply the division lemma to get

825 = 322 x 2 + 181

We consider the new divisor 322 and the new remainder 181,and apply the division lemma to get

322 = 181 x 1 + 141

We consider the new divisor 181 and the new remainder 141,and apply the division lemma to get

181 = 141 x 1 + 40

We consider the new divisor 141 and the new remainder 40,and apply the division lemma to get

141 = 40 x 3 + 21

We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get

40 = 21 x 1 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 9719 and 5272 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(141,40) = HCF(181,141) = HCF(322,181) = HCF(825,322) = HCF(4447,825) = HCF(5272,4447) = HCF(9719,5272) .

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Frequently Asked Questions on HCF of 9719, 5272 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 9719, 5272?

Answer: HCF of 9719, 5272 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9719, 5272 using Euclid's Algorithm?

Answer: For arbitrary numbers 9719, 5272 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.