Highest Common Factor of 2729, 1387 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 2729, 1387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2729, 1387 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 2729, 1387 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 2729, 1387 is 1.

HCF(2729, 1387) = 1

HCF of 2729, 1387 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 2729, 1387 is 1.

Highest Common Factor of 2729,1387 using Euclid's algorithm

Highest Common Factor of 2729,1387 is 1

Step 1: Since 2729 > 1387, we apply the division lemma to 2729 and 1387, to get

2729 = 1387 x 1 + 1342

Step 2: Since the reminder 1387 ≠ 0, we apply division lemma to 1342 and 1387, to get

1387 = 1342 x 1 + 45

Step 3: We consider the new divisor 1342 and the new remainder 45, and apply the division lemma to get

1342 = 45 x 29 + 37

We consider the new divisor 45 and the new remainder 37,and apply the division lemma to get

45 = 37 x 1 + 8

We consider the new divisor 37 and the new remainder 8,and apply the division lemma to get

37 = 8 x 4 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 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 2729 and 1387 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(37,8) = HCF(45,37) = HCF(1342,45) = HCF(1387,1342) = HCF(2729,1387) .

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Frequently Asked Questions on HCF of 2729, 1387 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 2729, 1387?

Answer: HCF of 2729, 1387 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2729, 1387 using Euclid's Algorithm?

Answer: For arbitrary numbers 2729, 1387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.