Highest Common Factor of 2730, 6242, 49129 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 2730, 6242, 49129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2730, 6242, 49129 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 2730, 6242, 49129 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 2730, 6242, 49129 is 1.

HCF(2730, 6242, 49129) = 1

HCF of 2730, 6242, 49129 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 2730, 6242, 49129 is 1.

Highest Common Factor of 2730,6242,49129 using Euclid's algorithm

Highest Common Factor of 2730,6242,49129 is 1

Step 1: Since 6242 > 2730, we apply the division lemma to 6242 and 2730, to get

6242 = 2730 x 2 + 782

Step 2: Since the reminder 2730 ≠ 0, we apply division lemma to 782 and 2730, to get

2730 = 782 x 3 + 384

Step 3: We consider the new divisor 782 and the new remainder 384, and apply the division lemma to get

782 = 384 x 2 + 14

We consider the new divisor 384 and the new remainder 14,and apply the division lemma to get

384 = 14 x 27 + 6

We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get

14 = 6 x 2 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2730 and 6242 is 2

Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(384,14) = HCF(782,384) = HCF(2730,782) = HCF(6242,2730) .

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

Step 1: Since 49129 > 2, we apply the division lemma to 49129 and 2, to get

49129 = 2 x 24564 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 49129 is 1

Notice that 1 = HCF(2,1) = HCF(49129,2) .

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Frequently Asked Questions on HCF of 2730, 6242, 49129 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 2730, 6242, 49129?

Answer: HCF of 2730, 6242, 49129 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2730, 6242, 49129 using Euclid's Algorithm?

Answer: For arbitrary numbers 2730, 6242, 49129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.