Highest Common Factor of 916, 6387, 4365 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 916, 6387, 4365 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 916, 6387, 4365 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 916, 6387, 4365 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 916, 6387, 4365 is 1.

HCF(916, 6387, 4365) = 1

HCF of 916, 6387, 4365 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 916, 6387, 4365 is 1.

Highest Common Factor of 916,6387,4365 using Euclid's algorithm

Highest Common Factor of 916,6387,4365 is 1

Step 1: Since 6387 > 916, we apply the division lemma to 6387 and 916, to get

6387 = 916 x 6 + 891

Step 2: Since the reminder 916 ≠ 0, we apply division lemma to 891 and 916, to get

916 = 891 x 1 + 25

Step 3: We consider the new divisor 891 and the new remainder 25, and apply the division lemma to get

891 = 25 x 35 + 16

We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get

25 = 16 x 1 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 916 and 6387 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(891,25) = HCF(916,891) = HCF(6387,916) .

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

Step 1: Since 4365 > 1, we apply the division lemma to 4365 and 1, to get

4365 = 1 x 4365 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4365 is 1

Notice that 1 = HCF(4365,1) .

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Frequently Asked Questions on HCF of 916, 6387, 4365 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 916, 6387, 4365?

Answer: HCF of 916, 6387, 4365 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 916, 6387, 4365 using Euclid's Algorithm?

Answer: For arbitrary numbers 916, 6387, 4365 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.