How to Find GCF of 2681/811, 5716/3650?

GCF of 2681/811, 5716/3650

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2681/811, 5716/3650 i.e 1/2960150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2681/811, 5716/3650.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2681/811,5716/3650?

Given fractions are 2681/811,5716/3650

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2681/811,5716/3650, numerators are 2681,5716

Denominators are 811,3650

The GCF of 2681,5716 is 1 .

LCM of 811,3650 is 2960150.

The greatest common factor of 2681/811,5716/3650 = [GCF of 2681,5716]/[LCM of 811,3650]= 1/2960150

Therefore, the GCF of 2681/811,5716/3650 is 1/2960150.

Greatest Common Factor of 2681,5716

To find the highest common factor of 2681,5716, we have to find the factors of both numbers and list the highest common factor.

The factors of 2681 are 1, 7, 383, 2681

The factors of 5716 are 1, 2, 4, 1429, 2858, 5716

The HCF of 2681,5716 is 1.

Lets's calculate GCF of 2681,5716

Greatest Common Factor (GCF) of 2681,5716 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2681,5716 By Matching Biggest Common Factor Method

Now, list down the factors of 2681

1,7,383,2681

Now, list down the factors of 5716

1,2,4,1429,2858,5716

Greatest Common Factor

We found the factors 2681,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 2681,5716 is 1.

Lets's calculate LCM of 811,3650

Lowest Common Multiple of 811,3650 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2960150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2960150

Therefore, the GCF of Fractions 2681/811,5716/3650 is 1/2960150

Least Common Multiple of 811,3650 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 811,3650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,3650) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(811,3650) x common factors =1 x 1 = 1

LCM(811,3650) = ( 811 × 3650 ) / 1

LCM(811,3650) = 2960150 / 1

LCM(811,3650) = 2960150

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FAQs on GCF of Fractions of 2681/811, 5716/3650

1. What is the HCF of 2681,5716?

The HCF of 2681,5716 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2681/811, 5716/3650?

Answer: GCF of Numerators as per given numbers 2681/811, 5716/3650 is

GCF of Numerators i.e. for 2681,5716 is 1

LCM of denominators i.e. for 811,3650 is 2960150.

Thus, GCF of Fractions is 1/2960150.Finally, GCF of Fractions for 2681/811, 5716/3650 is 1/2960150.