Highest Common Factor of 2434, 5457 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 2434, 5457 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2434, 5457 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 2434, 5457 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 2434, 5457 is 1.

HCF(2434, 5457) = 1

HCF of 2434, 5457 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 2434, 5457 is 1.

Highest Common Factor of 2434,5457 using Euclid's algorithm

Highest Common Factor of 2434,5457 is 1

Step 1: Since 5457 > 2434, we apply the division lemma to 5457 and 2434, to get

5457 = 2434 x 2 + 589

Step 2: Since the reminder 2434 ≠ 0, we apply division lemma to 589 and 2434, to get

2434 = 589 x 4 + 78

Step 3: We consider the new divisor 589 and the new remainder 78, and apply the division lemma to get

589 = 78 x 7 + 43

We consider the new divisor 78 and the new remainder 43,and apply the division lemma to get

78 = 43 x 1 + 35

We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get

43 = 35 x 1 + 8

We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get

35 = 8 x 4 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 2434 and 5457 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(78,43) = HCF(589,78) = HCF(2434,589) = HCF(5457,2434) .

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Frequently Asked Questions on HCF of 2434, 5457 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 2434, 5457?

Answer: HCF of 2434, 5457 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2434, 5457 using Euclid's Algorithm?

Answer: For arbitrary numbers 2434, 5457 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.