Highest Common Factor of 424, 258, 63 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 424, 258, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 424, 258, 63 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 424, 258, 63 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 424, 258, 63 is 1.

HCF(424, 258, 63) = 1

HCF of 424, 258, 63 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 424, 258, 63 is 1.

Highest Common Factor of 424,258,63 using Euclid's algorithm

Highest Common Factor of 424,258,63 is 1

Step 1: Since 424 > 258, we apply the division lemma to 424 and 258, to get

424 = 258 x 1 + 166

Step 2: Since the reminder 258 ≠ 0, we apply division lemma to 166 and 258, to get

258 = 166 x 1 + 92

Step 3: We consider the new divisor 166 and the new remainder 92, and apply the division lemma to get

166 = 92 x 1 + 74

We consider the new divisor 92 and the new remainder 74,and apply the division lemma to get

92 = 74 x 1 + 18

We consider the new divisor 74 and the new remainder 18,and apply the division lemma to get

74 = 18 x 4 + 2

We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get

18 = 2 x 9 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 424 and 258 is 2

Notice that 2 = HCF(18,2) = HCF(74,18) = HCF(92,74) = HCF(166,92) = HCF(258,166) = HCF(424,258) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 63 > 2, we apply the division lemma to 63 and 2, to get

63 = 2 x 31 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 63 is 1

Notice that 1 = HCF(2,1) = HCF(63,2) .

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Frequently Asked Questions on HCF of 424, 258, 63 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 424, 258, 63?

Answer: HCF of 424, 258, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 424, 258, 63 using Euclid's Algorithm?

Answer: For arbitrary numbers 424, 258, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.