How to Find GCF of 8931/747, 2644/8740?

GCF of 8931/747, 2644/8740

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 8931/747, 2644/8740 i.e 1/6528780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8931/747, 2644/8740.

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 8931/747,2644/8740?

Given fractions are 8931/747,2644/8740

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 8931/747,2644/8740, numerators are 8931,2644

Denominators are 747,8740

The GCF of 8931,2644 is 1 .

LCM of 747,8740 is 6528780.

The greatest common factor of 8931/747,2644/8740 = [GCF of 8931,2644]/[LCM of 747,8740]= 1/6528780

Therefore, the GCF of 8931/747,2644/8740 is 1/6528780.

Greatest Common Factor of 8931,2644

To find the highest common factor of 8931,2644, we have to find the factors of both numbers and list the highest common factor.

The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931

The factors of 2644 are 1, 2, 4, 661, 1322, 2644

The HCF of 8931,2644 is 1.

Lets's calculate GCF of 8931,2644

Greatest Common Factor (GCF) of 8931,2644 By Common Division

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

Greatest Common Factor of 8931,2644 By Matching Biggest Common Factor Method

Now, list down the factors of 8931

1,3,13,39,229,687,2977,8931

Now, list down the factors of 2644

1,2,4,661,1322,2644

Greatest Common Factor

We found the factors 8931,2644 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,2644 is 1.

Lets's calculate LCM of 747,8740

Lowest Common Multiple of 747,8740 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6528780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6528780

Therefore, the GCF of Fractions 8931/747,2644/8740 is 1/6528780

Least Common Multiple of 747,8740 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 747,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,8740) = 1

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

GCF(747,8740) x common factors =1 x 1 = 1

LCM(747,8740) = ( 747 × 8740 ) / 1

LCM(747,8740) = 6528780 / 1

LCM(747,8740) = 6528780

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FAQs on GCF of Fractions of 8931/747, 2644/8740

1. What is the HCF of 8931,2644?

The HCF of 8931,2644 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 8931/747, 2644/8740?

Answer: GCF of Numerators as per given numbers 8931/747, 2644/8740 is

GCF of Numerators i.e. for 8931,2644 is 1

LCM of denominators i.e. for 747,8740 is 6528780.

Thus, GCF of Fractions is 1/6528780.Finally, GCF of Fractions for 8931/747, 2644/8740 is 1/6528780.