Highest Common Factor of 635, 382, 424 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 635, 382, 424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 635, 382, 424 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 635, 382, 424 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 635, 382, 424 is 1.

HCF(635, 382, 424) = 1

HCF of 635, 382, 424 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 635, 382, 424 is 1.

Highest Common Factor of 635,382,424 using Euclid's algorithm

Highest Common Factor of 635,382,424 is 1

Step 1: Since 635 > 382, we apply the division lemma to 635 and 382, to get

635 = 382 x 1 + 253

Step 2: Since the reminder 382 ≠ 0, we apply division lemma to 253 and 382, to get

382 = 253 x 1 + 129

Step 3: We consider the new divisor 253 and the new remainder 129, and apply the division lemma to get

253 = 129 x 1 + 124

We consider the new divisor 129 and the new remainder 124,and apply the division lemma to get

129 = 124 x 1 + 5

We consider the new divisor 124 and the new remainder 5,and apply the division lemma to get

124 = 5 x 24 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 635 and 382 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(124,5) = HCF(129,124) = HCF(253,129) = HCF(382,253) = HCF(635,382) .

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

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

424 = 1 x 424 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 424 is 1

Notice that 1 = HCF(424,1) .

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Frequently Asked Questions on HCF of 635, 382, 424 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 635, 382, 424?

Answer: HCF of 635, 382, 424 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 635, 382, 424 using Euclid's Algorithm?

Answer: For arbitrary numbers 635, 382, 424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.