Highest Common Factor of 542, 371, 56 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 542, 371, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 371, 56 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 542, 371, 56 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 542, 371, 56 is 1.

HCF(542, 371, 56) = 1

HCF of 542, 371, 56 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 542, 371, 56 is 1.

Highest Common Factor of 542,371,56 using Euclid's algorithm

Highest Common Factor of 542,371,56 is 1

Step 1: Since 542 > 371, we apply the division lemma to 542 and 371, to get

542 = 371 x 1 + 171

Step 2: Since the reminder 371 ≠ 0, we apply division lemma to 171 and 371, to get

371 = 171 x 2 + 29

Step 3: We consider the new divisor 171 and the new remainder 29, and apply the division lemma to get

171 = 29 x 5 + 26

We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get

29 = 26 x 1 + 3

We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get

26 = 3 x 8 + 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 542 and 371 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(171,29) = HCF(371,171) = HCF(542,371) .

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

Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get

56 = 1 x 56 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1

Notice that 1 = HCF(56,1) .

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Frequently Asked Questions on HCF of 542, 371, 56 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 542, 371, 56?

Answer: HCF of 542, 371, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 371, 56 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 371, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.