Highest Common Factor of 2948, 2451 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 2948, 2451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2948, 2451 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 2948, 2451 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 2948, 2451 is 1.

HCF(2948, 2451) = 1

HCF of 2948, 2451 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 2948, 2451 is 1.

Highest Common Factor of 2948,2451 using Euclid's algorithm

Highest Common Factor of 2948,2451 is 1

Step 1: Since 2948 > 2451, we apply the division lemma to 2948 and 2451, to get

2948 = 2451 x 1 + 497

Step 2: Since the reminder 2451 ≠ 0, we apply division lemma to 497 and 2451, to get

2451 = 497 x 4 + 463

Step 3: We consider the new divisor 497 and the new remainder 463, and apply the division lemma to get

497 = 463 x 1 + 34

We consider the new divisor 463 and the new remainder 34,and apply the division lemma to get

463 = 34 x 13 + 21

We consider the new divisor 34 and the new remainder 21,and apply the division lemma to get

34 = 21 x 1 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 2948 and 2451 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(34,21) = HCF(463,34) = HCF(497,463) = HCF(2451,497) = HCF(2948,2451) .

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Frequently Asked Questions on HCF of 2948, 2451 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 2948, 2451?

Answer: HCF of 2948, 2451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2948, 2451 using Euclid's Algorithm?

Answer: For arbitrary numbers 2948, 2451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.