Highest Common Factor of 5927, 7416, 87978 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 5927, 7416, 87978 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5927, 7416, 87978 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 5927, 7416, 87978 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 5927, 7416, 87978 is 1.

HCF(5927, 7416, 87978) = 1

HCF of 5927, 7416, 87978 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 5927, 7416, 87978 is 1.

Highest Common Factor of 5927,7416,87978 using Euclid's algorithm

Highest Common Factor of 5927,7416,87978 is 1

Step 1: Since 7416 > 5927, we apply the division lemma to 7416 and 5927, to get

7416 = 5927 x 1 + 1489

Step 2: Since the reminder 5927 ≠ 0, we apply division lemma to 1489 and 5927, to get

5927 = 1489 x 3 + 1460

Step 3: We consider the new divisor 1489 and the new remainder 1460, and apply the division lemma to get

1489 = 1460 x 1 + 29

We consider the new divisor 1460 and the new remainder 29,and apply the division lemma to get

1460 = 29 x 50 + 10

We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get

29 = 10 x 2 + 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 5927 and 7416 is 1

Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(1460,29) = HCF(1489,1460) = HCF(5927,1489) = HCF(7416,5927) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 87978 > 1, we apply the division lemma to 87978 and 1, to get

87978 = 1 x 87978 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87978 is 1

Notice that 1 = HCF(87978,1) .

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Frequently Asked Questions on HCF of 5927, 7416, 87978 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 5927, 7416, 87978?

Answer: HCF of 5927, 7416, 87978 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5927, 7416, 87978 using Euclid's Algorithm?

Answer: For arbitrary numbers 5927, 7416, 87978 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.