Highest Common Factor of 4121, 2575, 26781 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 4121, 2575, 26781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4121, 2575, 26781 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 4121, 2575, 26781 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 4121, 2575, 26781 is 1.

HCF(4121, 2575, 26781) = 1

HCF of 4121, 2575, 26781 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 4121, 2575, 26781 is 1.

Highest Common Factor of 4121,2575,26781 using Euclid's algorithm

Highest Common Factor of 4121,2575,26781 is 1

Step 1: Since 4121 > 2575, we apply the division lemma to 4121 and 2575, to get

4121 = 2575 x 1 + 1546

Step 2: Since the reminder 2575 ≠ 0, we apply division lemma to 1546 and 2575, to get

2575 = 1546 x 1 + 1029

Step 3: We consider the new divisor 1546 and the new remainder 1029, and apply the division lemma to get

1546 = 1029 x 1 + 517

We consider the new divisor 1029 and the new remainder 517,and apply the division lemma to get

1029 = 517 x 1 + 512

We consider the new divisor 517 and the new remainder 512,and apply the division lemma to get

517 = 512 x 1 + 5

We consider the new divisor 512 and the new remainder 5,and apply the division lemma to get

512 = 5 x 102 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4121 and 2575 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(512,5) = HCF(517,512) = HCF(1029,517) = HCF(1546,1029) = HCF(2575,1546) = HCF(4121,2575) .

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

Step 1: Since 26781 > 1, we apply the division lemma to 26781 and 1, to get

26781 = 1 x 26781 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26781 is 1

Notice that 1 = HCF(26781,1) .

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Frequently Asked Questions on HCF of 4121, 2575, 26781 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 4121, 2575, 26781?

Answer: HCF of 4121, 2575, 26781 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4121, 2575, 26781 using Euclid's Algorithm?

Answer: For arbitrary numbers 4121, 2575, 26781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.