Greatest Common Factor of 9980/480, 2747/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9980/480, 2747/908

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 9980/480,2747/908

Given fractions are 9980/480,2747/908

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9980,2747

Greatest Common Factor of Numerators i.e. GCF of 9980,2747 is 1 .

LCM of Denominators means LCM of 480,908 as per the given fractions.

LCM of 480,908 is 108960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9980,2747

GCF of Fractions 9980/480,2747/908 is 1/108960

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

Greatest Common Factor of 9980,2747 By Matching Biggest Common Factor Method

Greatest Common Factor of 9980,2747 By Matching Biggest Common Factor Method

Factors of 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1,2,4,5,10,20,499,998,1996,2495,4990,9980

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Greatest Common Factor

We found the factors 9980,2747 . The biggest common factor number is the GCF number.
So the greatest common factor 9980,2747 is 1.

Lets's calculate LCM of 480,908

2 480, 908
2 240, 454
120, 227

∴ So the LCM of the given numbers is 2 x 2 x 120 x 227 = 108960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108960

Therefore, the GCF of Fractions 9980/480,2747/908 is 1/108960

Least Common Multiple of 480,908 with GCF Formula

Least Common Multiple of 480,908 with GCF Formula

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

We need to calculate greatest common factor of 480,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,908) = 4

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

GCF(480,908) x common factors =4 x 1 = 4

LCM(480,908) = ( 480 × 908 ) / 4

LCM(480,908) = 435840 / 4

LCM(480,908) = 108960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9980/480, 2747/908

1. 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.

2. What is the GCF of Fractions for 9980/480, 2747/908?

Answer: GCF of Numerators as per given numbers 9980/480, 2747/908 is

GCF of Numerators i.e. for 9980,2747 is 1

LCM of denominators i.e. for 480,908 is 108960.

Thus, GCF of Fractions is 1/108960.Finally, GCF of Fractions for 9980/480, 2747/908 is 1/108960.