Highest Common Factor of 540, 979, 402 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 540, 979, 402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 540, 979, 402 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 540, 979, 402 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 540, 979, 402 is 1.

HCF(540, 979, 402) = 1

HCF of 540, 979, 402 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 540, 979, 402 is 1.

Highest Common Factor of 540,979,402 using Euclid's algorithm

Highest Common Factor of 540,979,402 is 1

Step 1: Since 979 > 540, we apply the division lemma to 979 and 540, to get

979 = 540 x 1 + 439

Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 439 and 540, to get

540 = 439 x 1 + 101

Step 3: We consider the new divisor 439 and the new remainder 101, and apply the division lemma to get

439 = 101 x 4 + 35

We consider the new divisor 101 and the new remainder 35,and apply the division lemma to get

101 = 35 x 2 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 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 540 and 979 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(101,35) = HCF(439,101) = HCF(540,439) = HCF(979,540) .

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

Step 1: Since 402 > 1, we apply the division lemma to 402 and 1, to get

402 = 1 x 402 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 402 is 1

Notice that 1 = HCF(402,1) .

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Frequently Asked Questions on HCF of 540, 979, 402 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 540, 979, 402?

Answer: HCF of 540, 979, 402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 540, 979, 402 using Euclid's Algorithm?

Answer: For arbitrary numbers 540, 979, 402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.