Highest Common Factor of 7058, 2675 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 7058, 2675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7058, 2675 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 7058, 2675 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 7058, 2675 is 1.

HCF(7058, 2675) = 1

HCF of 7058, 2675 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 7058, 2675 is 1.

Highest Common Factor of 7058,2675 using Euclid's algorithm

Highest Common Factor of 7058,2675 is 1

Step 1: Since 7058 > 2675, we apply the division lemma to 7058 and 2675, to get

7058 = 2675 x 2 + 1708

Step 2: Since the reminder 2675 ≠ 0, we apply division lemma to 1708 and 2675, to get

2675 = 1708 x 1 + 967

Step 3: We consider the new divisor 1708 and the new remainder 967, and apply the division lemma to get

1708 = 967 x 1 + 741

We consider the new divisor 967 and the new remainder 741,and apply the division lemma to get

967 = 741 x 1 + 226

We consider the new divisor 741 and the new remainder 226,and apply the division lemma to get

741 = 226 x 3 + 63

We consider the new divisor 226 and the new remainder 63,and apply the division lemma to get

226 = 63 x 3 + 37

We consider the new divisor 63 and the new remainder 37,and apply the division lemma to get

63 = 37 x 1 + 26

We consider the new divisor 37 and the new remainder 26,and apply the division lemma to get

37 = 26 x 1 + 11

We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get

26 = 11 x 2 + 4

We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get

11 = 4 x 2 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7058 and 2675 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(63,37) = HCF(226,63) = HCF(741,226) = HCF(967,741) = HCF(1708,967) = HCF(2675,1708) = HCF(7058,2675) .

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Frequently Asked Questions on HCF of 7058, 2675 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 7058, 2675?

Answer: HCF of 7058, 2675 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7058, 2675 using Euclid's Algorithm?

Answer: For arbitrary numbers 7058, 2675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.