Highest Common Factor of 263, 2521, 6057 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 263, 2521, 6057 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 263, 2521, 6057 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 263, 2521, 6057 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 263, 2521, 6057 is 1.

HCF(263, 2521, 6057) = 1

HCF of 263, 2521, 6057 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 263, 2521, 6057 is 1.

Highest Common Factor of 263,2521,6057 using Euclid's algorithm

Highest Common Factor of 263,2521,6057 is 1

Step 1: Since 2521 > 263, we apply the division lemma to 2521 and 263, to get

2521 = 263 x 9 + 154

Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 154 and 263, to get

263 = 154 x 1 + 109

Step 3: We consider the new divisor 154 and the new remainder 109, and apply the division lemma to get

154 = 109 x 1 + 45

We consider the new divisor 109 and the new remainder 45,and apply the division lemma to get

109 = 45 x 2 + 19

We consider the new divisor 45 and the new remainder 19,and apply the division lemma to get

45 = 19 x 2 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 263 and 2521 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(45,19) = HCF(109,45) = HCF(154,109) = HCF(263,154) = HCF(2521,263) .

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

Step 1: Since 6057 > 1, we apply the division lemma to 6057 and 1, to get

6057 = 1 x 6057 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6057 is 1

Notice that 1 = HCF(6057,1) .

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Frequently Asked Questions on HCF of 263, 2521, 6057 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 263, 2521, 6057?

Answer: HCF of 263, 2521, 6057 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 263, 2521, 6057 using Euclid's Algorithm?

Answer: For arbitrary numbers 263, 2521, 6057 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.