Highest Common Factor of 5939, 7016 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 5939, 7016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5939, 7016 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 5939, 7016 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 5939, 7016 is 1.

HCF(5939, 7016) = 1

HCF of 5939, 7016 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 5939, 7016 is 1.

Highest Common Factor of 5939,7016 using Euclid's algorithm

Highest Common Factor of 5939,7016 is 1

Step 1: Since 7016 > 5939, we apply the division lemma to 7016 and 5939, to get

7016 = 5939 x 1 + 1077

Step 2: Since the reminder 5939 ≠ 0, we apply division lemma to 1077 and 5939, to get

5939 = 1077 x 5 + 554

Step 3: We consider the new divisor 1077 and the new remainder 554, and apply the division lemma to get

1077 = 554 x 1 + 523

We consider the new divisor 554 and the new remainder 523,and apply the division lemma to get

554 = 523 x 1 + 31

We consider the new divisor 523 and the new remainder 31,and apply the division lemma to get

523 = 31 x 16 + 27

We consider the new divisor 31 and the new remainder 27,and apply the division lemma to get

31 = 27 x 1 + 4

We consider the new divisor 27 and the new remainder 4,and apply the division lemma to get

27 = 4 x 6 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 5939 and 7016 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(27,4) = HCF(31,27) = HCF(523,31) = HCF(554,523) = HCF(1077,554) = HCF(5939,1077) = HCF(7016,5939) .

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Frequently Asked Questions on HCF of 5939, 7016 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 5939, 7016?

Answer: HCF of 5939, 7016 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5939, 7016 using Euclid's Algorithm?

Answer: For arbitrary numbers 5939, 7016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.