Highest Common Factor of 1387, 6165, 10328 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 1387, 6165, 10328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1387, 6165, 10328 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 1387, 6165, 10328 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 1387, 6165, 10328 is 1.

HCF(1387, 6165, 10328) = 1

HCF of 1387, 6165, 10328 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 1387, 6165, 10328 is 1.

Highest Common Factor of 1387,6165,10328 using Euclid's algorithm

Highest Common Factor of 1387,6165,10328 is 1

Step 1: Since 6165 > 1387, we apply the division lemma to 6165 and 1387, to get

6165 = 1387 x 4 + 617

Step 2: Since the reminder 1387 ≠ 0, we apply division lemma to 617 and 1387, to get

1387 = 617 x 2 + 153

Step 3: We consider the new divisor 617 and the new remainder 153, and apply the division lemma to get

617 = 153 x 4 + 5

We consider the new divisor 153 and the new remainder 5,and apply the division lemma to get

153 = 5 x 30 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 1387 and 6165 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(153,5) = HCF(617,153) = HCF(1387,617) = HCF(6165,1387) .

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

Step 1: Since 10328 > 1, we apply the division lemma to 10328 and 1, to get

10328 = 1 x 10328 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10328 is 1

Notice that 1 = HCF(10328,1) .

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Frequently Asked Questions on HCF of 1387, 6165, 10328 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 1387, 6165, 10328?

Answer: HCF of 1387, 6165, 10328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1387, 6165, 10328 using Euclid's Algorithm?

Answer: For arbitrary numbers 1387, 6165, 10328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.