Highest Common Factor of 7919, 1061 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 7919, 1061 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7919, 1061 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 7919, 1061 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 7919, 1061 is 1.

HCF(7919, 1061) = 1

HCF of 7919, 1061 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 7919, 1061 is 1.

Highest Common Factor of 7919,1061 using Euclid's algorithm

Highest Common Factor of 7919,1061 is 1

Step 1: Since 7919 > 1061, we apply the division lemma to 7919 and 1061, to get

7919 = 1061 x 7 + 492

Step 2: Since the reminder 1061 ≠ 0, we apply division lemma to 492 and 1061, to get

1061 = 492 x 2 + 77

Step 3: We consider the new divisor 492 and the new remainder 77, and apply the division lemma to get

492 = 77 x 6 + 30

We consider the new divisor 77 and the new remainder 30,and apply the division lemma to get

77 = 30 x 2 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7919 and 1061 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(77,30) = HCF(492,77) = HCF(1061,492) = HCF(7919,1061) .

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Frequently Asked Questions on HCF of 7919, 1061 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 7919, 1061?

Answer: HCF of 7919, 1061 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7919, 1061 using Euclid's Algorithm?

Answer: For arbitrary numbers 7919, 1061 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.