Highest Common Factor of 474, 257, 635, 57 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 474, 257, 635, 57 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 474, 257, 635, 57 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 474, 257, 635, 57 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 474, 257, 635, 57 is 1.

HCF(474, 257, 635, 57) = 1

HCF of 474, 257, 635, 57 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 474, 257, 635, 57 is 1.

Highest Common Factor of 474,257,635,57 using Euclid's algorithm

Highest Common Factor of 474,257,635,57 is 1

Step 1: Since 474 > 257, we apply the division lemma to 474 and 257, to get

474 = 257 x 1 + 217

Step 2: Since the reminder 257 ≠ 0, we apply division lemma to 217 and 257, to get

257 = 217 x 1 + 40

Step 3: We consider the new divisor 217 and the new remainder 40, and apply the division lemma to get

217 = 40 x 5 + 17

We consider the new divisor 40 and the new remainder 17,and apply the division lemma to get

40 = 17 x 2 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 474 and 257 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(40,17) = HCF(217,40) = HCF(257,217) = HCF(474,257) .

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

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

635 = 1 x 635 + 0

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

Notice that 1 = HCF(635,1) .

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

Step 1: Since 57 > 1, we apply the division lemma to 57 and 1, to get

57 = 1 x 57 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 57 is 1

Notice that 1 = HCF(57,1) .

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Frequently Asked Questions on HCF of 474, 257, 635, 57 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 474, 257, 635, 57?

Answer: HCF of 474, 257, 635, 57 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 474, 257, 635, 57 using Euclid's Algorithm?

Answer: For arbitrary numbers 474, 257, 635, 57 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.