Highest Common Factor of 2897, 6739 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 2897, 6739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2897, 6739 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 2897, 6739 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 2897, 6739 is 1.

HCF(2897, 6739) = 1

HCF of 2897, 6739 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 2897, 6739 is 1.

Highest Common Factor of 2897,6739 using Euclid's algorithm

Highest Common Factor of 2897,6739 is 1

Step 1: Since 6739 > 2897, we apply the division lemma to 6739 and 2897, to get

6739 = 2897 x 2 + 945

Step 2: Since the reminder 2897 ≠ 0, we apply division lemma to 945 and 2897, to get

2897 = 945 x 3 + 62

Step 3: We consider the new divisor 945 and the new remainder 62, and apply the division lemma to get

945 = 62 x 15 + 15

We consider the new divisor 62 and the new remainder 15,and apply the division lemma to get

62 = 15 x 4 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 2897 and 6739 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(62,15) = HCF(945,62) = HCF(2897,945) = HCF(6739,2897) .

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Frequently Asked Questions on HCF of 2897, 6739 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 2897, 6739?

Answer: HCF of 2897, 6739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2897, 6739 using Euclid's Algorithm?

Answer: For arbitrary numbers 2897, 6739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.