Highest Common Factor of 1460, 2511 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 1460, 2511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1460, 2511 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 1460, 2511 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 1460, 2511 is 1.

HCF(1460, 2511) = 1

HCF of 1460, 2511 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 1460, 2511 is 1.

Highest Common Factor of 1460,2511 using Euclid's algorithm

Highest Common Factor of 1460,2511 is 1

Step 1: Since 2511 > 1460, we apply the division lemma to 2511 and 1460, to get

2511 = 1460 x 1 + 1051

Step 2: Since the reminder 1460 ≠ 0, we apply division lemma to 1051 and 1460, to get

1460 = 1051 x 1 + 409

Step 3: We consider the new divisor 1051 and the new remainder 409, and apply the division lemma to get

1051 = 409 x 2 + 233

We consider the new divisor 409 and the new remainder 233,and apply the division lemma to get

409 = 233 x 1 + 176

We consider the new divisor 233 and the new remainder 176,and apply the division lemma to get

233 = 176 x 1 + 57

We consider the new divisor 176 and the new remainder 57,and apply the division lemma to get

176 = 57 x 3 + 5

We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get

57 = 5 x 11 + 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 1460 and 2511 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(176,57) = HCF(233,176) = HCF(409,233) = HCF(1051,409) = HCF(1460,1051) = HCF(2511,1460) .

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Frequently Asked Questions on HCF of 1460, 2511 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 1460, 2511?

Answer: HCF of 1460, 2511 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1460, 2511 using Euclid's Algorithm?

Answer: For arbitrary numbers 1460, 2511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.