Highest Common Factor of 2513, 1283, 92071 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 2513, 1283, 92071 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2513, 1283, 92071 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 2513, 1283, 92071 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 2513, 1283, 92071 is 1.

HCF(2513, 1283, 92071) = 1

HCF of 2513, 1283, 92071 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 2513, 1283, 92071 is 1.

Highest Common Factor of 2513,1283,92071 using Euclid's algorithm

Highest Common Factor of 2513,1283,92071 is 1

Step 1: Since 2513 > 1283, we apply the division lemma to 2513 and 1283, to get

2513 = 1283 x 1 + 1230

Step 2: Since the reminder 1283 ≠ 0, we apply division lemma to 1230 and 1283, to get

1283 = 1230 x 1 + 53

Step 3: We consider the new divisor 1230 and the new remainder 53, and apply the division lemma to get

1230 = 53 x 23 + 11

We consider the new divisor 53 and the new remainder 11,and apply the division lemma to get

53 = 11 x 4 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 2513 and 1283 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(53,11) = HCF(1230,53) = HCF(1283,1230) = HCF(2513,1283) .

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

Step 1: Since 92071 > 1, we apply the division lemma to 92071 and 1, to get

92071 = 1 x 92071 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 92071 is 1

Notice that 1 = HCF(92071,1) .

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Frequently Asked Questions on HCF of 2513, 1283, 92071 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 2513, 1283, 92071?

Answer: HCF of 2513, 1283, 92071 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2513, 1283, 92071 using Euclid's Algorithm?

Answer: For arbitrary numbers 2513, 1283, 92071 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.