Highest Common Factor of 2551, 1524, 43456 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 2551, 1524, 43456 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2551, 1524, 43456 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 2551, 1524, 43456 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 2551, 1524, 43456 is 1.

HCF(2551, 1524, 43456) = 1

HCF of 2551, 1524, 43456 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 2551, 1524, 43456 is 1.

Highest Common Factor of 2551,1524,43456 using Euclid's algorithm

Highest Common Factor of 2551,1524,43456 is 1

Step 1: Since 2551 > 1524, we apply the division lemma to 2551 and 1524, to get

2551 = 1524 x 1 + 1027

Step 2: Since the reminder 1524 ≠ 0, we apply division lemma to 1027 and 1524, to get

1524 = 1027 x 1 + 497

Step 3: We consider the new divisor 1027 and the new remainder 497, and apply the division lemma to get

1027 = 497 x 2 + 33

We consider the new divisor 497 and the new remainder 33,and apply the division lemma to get

497 = 33 x 15 + 2

We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get

33 = 2 x 16 + 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 2551 and 1524 is 1

Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(497,33) = HCF(1027,497) = HCF(1524,1027) = HCF(2551,1524) .

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

Step 1: Since 43456 > 1, we apply the division lemma to 43456 and 1, to get

43456 = 1 x 43456 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43456 is 1

Notice that 1 = HCF(43456,1) .

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Frequently Asked Questions on HCF of 2551, 1524, 43456 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 2551, 1524, 43456?

Answer: HCF of 2551, 1524, 43456 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2551, 1524, 43456 using Euclid's Algorithm?

Answer: For arbitrary numbers 2551, 1524, 43456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.