Highest Common Factor of 9078, 6379, 12987 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 9078, 6379, 12987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9078, 6379, 12987 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 9078, 6379, 12987 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 9078, 6379, 12987 is 1.

HCF(9078, 6379, 12987) = 1

HCF of 9078, 6379, 12987 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 9078, 6379, 12987 is 1.

Highest Common Factor of 9078,6379,12987 using Euclid's algorithm

Highest Common Factor of 9078,6379,12987 is 1

Step 1: Since 9078 > 6379, we apply the division lemma to 9078 and 6379, to get

9078 = 6379 x 1 + 2699

Step 2: Since the reminder 6379 ≠ 0, we apply division lemma to 2699 and 6379, to get

6379 = 2699 x 2 + 981

Step 3: We consider the new divisor 2699 and the new remainder 981, and apply the division lemma to get

2699 = 981 x 2 + 737

We consider the new divisor 981 and the new remainder 737,and apply the division lemma to get

981 = 737 x 1 + 244

We consider the new divisor 737 and the new remainder 244,and apply the division lemma to get

737 = 244 x 3 + 5

We consider the new divisor 244 and the new remainder 5,and apply the division lemma to get

244 = 5 x 48 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9078 and 6379 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(244,5) = HCF(737,244) = HCF(981,737) = HCF(2699,981) = HCF(6379,2699) = HCF(9078,6379) .

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

Step 1: Since 12987 > 1, we apply the division lemma to 12987 and 1, to get

12987 = 1 x 12987 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12987 is 1

Notice that 1 = HCF(12987,1) .

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Frequently Asked Questions on HCF of 9078, 6379, 12987 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 9078, 6379, 12987?

Answer: HCF of 9078, 6379, 12987 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9078, 6379, 12987 using Euclid's Algorithm?

Answer: For arbitrary numbers 9078, 6379, 12987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.