Highest Common Factor of 5991, 7927 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 5991, 7927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5991, 7927 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 5991, 7927 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 5991, 7927 is 1.

HCF(5991, 7927) = 1

HCF of 5991, 7927 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 5991, 7927 is 1.

Highest Common Factor of 5991,7927 using Euclid's algorithm

Highest Common Factor of 5991,7927 is 1

Step 1: Since 7927 > 5991, we apply the division lemma to 7927 and 5991, to get

7927 = 5991 x 1 + 1936

Step 2: Since the reminder 5991 ≠ 0, we apply division lemma to 1936 and 5991, to get

5991 = 1936 x 3 + 183

Step 3: We consider the new divisor 1936 and the new remainder 183, and apply the division lemma to get

1936 = 183 x 10 + 106

We consider the new divisor 183 and the new remainder 106,and apply the division lemma to get

183 = 106 x 1 + 77

We consider the new divisor 106 and the new remainder 77,and apply the division lemma to get

106 = 77 x 1 + 29

We consider the new divisor 77 and the new remainder 29,and apply the division lemma to get

77 = 29 x 2 + 19

We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get

29 = 19 x 1 + 10

We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get

19 = 10 x 1 + 9

We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get

10 = 9 x 1 + 1

We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get

9 = 1 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5991 and 7927 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(77,29) = HCF(106,77) = HCF(183,106) = HCF(1936,183) = HCF(5991,1936) = HCF(7927,5991) .

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Frequently Asked Questions on HCF of 5991, 7927 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 5991, 7927?

Answer: HCF of 5991, 7927 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5991, 7927 using Euclid's Algorithm?

Answer: For arbitrary numbers 5991, 7927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.