Highest Common Factor of 542, 883, 72 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, 883, 72 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 542, 883, 72 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, 883, 72 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, 883, 72 is 1.

HCF(542, 883, 72) = 1

HCF of 542, 883, 72 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, 883, 72 is 1.

Highest Common Factor of 542,883,72 using Euclid's algorithm

Highest Common Factor of 542,883,72 is 1

Step 1: Since 883 > 542, we apply the division lemma to 883 and 542, to get

883 = 542 x 1 + 341

Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 341 and 542, to get

542 = 341 x 1 + 201

Step 3: We consider the new divisor 341 and the new remainder 201, and apply the division lemma to get

341 = 201 x 1 + 140

We consider the new divisor 201 and the new remainder 140,and apply the division lemma to get

201 = 140 x 1 + 61

We consider the new divisor 140 and the new remainder 61,and apply the division lemma to get

140 = 61 x 2 + 18

We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get

61 = 18 x 3 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 542 and 883 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(140,61) = HCF(201,140) = HCF(341,201) = HCF(542,341) = HCF(883,542) .

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

Step 1: Since 72 > 1, we apply the division lemma to 72 and 1, to get

72 = 1 x 72 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 72 is 1

Notice that 1 = HCF(72,1) .

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Frequently Asked Questions on HCF of 542, 883, 72 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, 883, 72?

Answer: HCF of 542, 883, 72 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 542, 883, 72 using Euclid's Algorithm?

Answer: For arbitrary numbers 542, 883, 72 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.