Highest Common Factor of 2702, 7739 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 2702, 7739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2702, 7739 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 2702, 7739 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 2702, 7739 is 1.

HCF(2702, 7739) = 1

HCF of 2702, 7739 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 2702, 7739 is 1.

Highest Common Factor of 2702,7739 using Euclid's algorithm

Highest Common Factor of 2702,7739 is 1

Step 1: Since 7739 > 2702, we apply the division lemma to 7739 and 2702, to get

7739 = 2702 x 2 + 2335

Step 2: Since the reminder 2702 ≠ 0, we apply division lemma to 2335 and 2702, to get

2702 = 2335 x 1 + 367

Step 3: We consider the new divisor 2335 and the new remainder 367, and apply the division lemma to get

2335 = 367 x 6 + 133

We consider the new divisor 367 and the new remainder 133,and apply the division lemma to get

367 = 133 x 2 + 101

We consider the new divisor 133 and the new remainder 101,and apply the division lemma to get

133 = 101 x 1 + 32

We consider the new divisor 101 and the new remainder 32,and apply the division lemma to get

101 = 32 x 3 + 5

We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get

32 = 5 x 6 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 2702 and 7739 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(101,32) = HCF(133,101) = HCF(367,133) = HCF(2335,367) = HCF(2702,2335) = HCF(7739,2702) .

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Frequently Asked Questions on HCF of 2702, 7739 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 2702, 7739?

Answer: HCF of 2702, 7739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2702, 7739 using Euclid's Algorithm?

Answer: For arbitrary numbers 2702, 7739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.