Highest Common Factor of 651, 246, 540 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 651, 246, 540 i.e. 3 the largest integer that leaves a remainder zero for all numbers.

HCF of 651, 246, 540 is 3 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 651, 246, 540 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 651, 246, 540 is 3.

HCF(651, 246, 540) = 3

HCF of 651, 246, 540 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 651, 246, 540 is 3.

Highest Common Factor of 651,246,540 using Euclid's algorithm

Highest Common Factor of 651,246,540 is 3

Step 1: Since 651 > 246, we apply the division lemma to 651 and 246, to get

651 = 246 x 2 + 159

Step 2: Since the reminder 246 ≠ 0, we apply division lemma to 159 and 246, to get

246 = 159 x 1 + 87

Step 3: We consider the new divisor 159 and the new remainder 87, and apply the division lemma to get

159 = 87 x 1 + 72

We consider the new divisor 87 and the new remainder 72,and apply the division lemma to get

87 = 72 x 1 + 15

We consider the new divisor 72 and the new remainder 15,and apply the division lemma to get

72 = 15 x 4 + 12

We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get

15 = 12 x 1 + 3

We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get

12 = 3 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 651 and 246 is 3

Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(72,15) = HCF(87,72) = HCF(159,87) = HCF(246,159) = HCF(651,246) .

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

Step 1: Since 540 > 3, we apply the division lemma to 540 and 3, to get

540 = 3 x 180 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 540 is 3

Notice that 3 = HCF(540,3) .

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Frequently Asked Questions on HCF of 651, 246, 540 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 651, 246, 540?

Answer: HCF of 651, 246, 540 is 3 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 651, 246, 540 using Euclid's Algorithm?

Answer: For arbitrary numbers 651, 246, 540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.