Highest Common Factor of 467, 268 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 467, 268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 467, 268 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 467, 268 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 467, 268 is 1.

HCF(467, 268) = 1

HCF of 467, 268 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 467, 268 is 1.

Highest Common Factor of 467,268 using Euclid's algorithm

Highest Common Factor of 467,268 is 1

Step 1: Since 467 > 268, we apply the division lemma to 467 and 268, to get

467 = 268 x 1 + 199

Step 2: Since the reminder 268 ≠ 0, we apply division lemma to 199 and 268, to get

268 = 199 x 1 + 69

Step 3: We consider the new divisor 199 and the new remainder 69, and apply the division lemma to get

199 = 69 x 2 + 61

We consider the new divisor 69 and the new remainder 61,and apply the division lemma to get

69 = 61 x 1 + 8

We consider the new divisor 61 and the new remainder 8,and apply the division lemma to get

61 = 8 x 7 + 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 467 and 268 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(61,8) = HCF(69,61) = HCF(199,69) = HCF(268,199) = HCF(467,268) .

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Frequently Asked Questions on HCF of 467, 268 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 467, 268?

Answer: HCF of 467, 268 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 467, 268 using Euclid's Algorithm?

Answer: For arbitrary numbers 467, 268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.