Highest Common Factor of 7927, 9530 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 7927, 9530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7927, 9530 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 7927, 9530 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 7927, 9530 is 1.

HCF(7927, 9530) = 1

HCF of 7927, 9530 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7927, 9530 is 1.

Highest Common Factor of 7927,9530 using Euclid's algorithm

Highest Common Factor of 7927,9530 is 1

Step 1: Since 9530 > 7927, we apply the division lemma to 9530 and 7927, to get

9530 = 7927 x 1 + 1603

Step 2: Since the reminder 7927 ≠ 0, we apply division lemma to 1603 and 7927, to get

7927 = 1603 x 4 + 1515

Step 3: We consider the new divisor 1603 and the new remainder 1515, and apply the division lemma to get

1603 = 1515 x 1 + 88

We consider the new divisor 1515 and the new remainder 88,and apply the division lemma to get

1515 = 88 x 17 + 19

We consider the new divisor 88 and the new remainder 19,and apply the division lemma to get

88 = 19 x 4 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 7927 and 9530 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(88,19) = HCF(1515,88) = HCF(1603,1515) = HCF(7927,1603) = HCF(9530,7927) .

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Frequently Asked Questions on HCF of 7927, 9530 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 7927, 9530?

Answer: HCF of 7927, 9530 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7927, 9530 using Euclid's Algorithm?

Answer: For arbitrary numbers 7927, 9530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.