Highest Common Factor of 676, 183 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 676, 183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 676, 183 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 676, 183 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 676, 183 is 1.

HCF(676, 183) = 1

HCF of 676, 183 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 676, 183 is 1.

Highest Common Factor of 676,183 using Euclid's algorithm

Highest Common Factor of 676,183 is 1

Step 1: Since 676 > 183, we apply the division lemma to 676 and 183, to get

676 = 183 x 3 + 127

Step 2: Since the reminder 183 ≠ 0, we apply division lemma to 127 and 183, to get

183 = 127 x 1 + 56

Step 3: We consider the new divisor 127 and the new remainder 56, and apply the division lemma to get

127 = 56 x 2 + 15

We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get

56 = 15 x 3 + 11

We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get

15 = 11 x 1 + 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 676 and 183 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(127,56) = HCF(183,127) = HCF(676,183) .

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Frequently Asked Questions on HCF of 676, 183 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 676, 183?

Answer: HCF of 676, 183 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 676, 183 using Euclid's Algorithm?

Answer: For arbitrary numbers 676, 183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.