Highest Common Factor of 7319, 9930 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 7319, 9930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7319, 9930 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 7319, 9930 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 7319, 9930 is 1.

HCF(7319, 9930) = 1

HCF of 7319, 9930 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 7319, 9930 is 1.

Highest Common Factor of 7319,9930 using Euclid's algorithm

Highest Common Factor of 7319,9930 is 1

Step 1: Since 9930 > 7319, we apply the division lemma to 9930 and 7319, to get

9930 = 7319 x 1 + 2611

Step 2: Since the reminder 7319 ≠ 0, we apply division lemma to 2611 and 7319, to get

7319 = 2611 x 2 + 2097

Step 3: We consider the new divisor 2611 and the new remainder 2097, and apply the division lemma to get

2611 = 2097 x 1 + 514

We consider the new divisor 2097 and the new remainder 514,and apply the division lemma to get

2097 = 514 x 4 + 41

We consider the new divisor 514 and the new remainder 41,and apply the division lemma to get

514 = 41 x 12 + 22

We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get

41 = 22 x 1 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 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 7319 and 9930 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(514,41) = HCF(2097,514) = HCF(2611,2097) = HCF(7319,2611) = HCF(9930,7319) .

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Frequently Asked Questions on HCF of 7319, 9930 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 7319, 9930?

Answer: HCF of 7319, 9930 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7319, 9930 using Euclid's Algorithm?

Answer: For arbitrary numbers 7319, 9930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.