Greatest Common Factor of 6354/55, 8180/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6354/55, 8180/448

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 6354/55,8180/448

Given fractions are 6354/55,8180/448

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 6354,8180

Greatest Common Factor of Numerators i.e. GCF of 6354,8180 is 2 .

LCM of Denominators means LCM of 55,448 as per the given fractions.

LCM of 55,448 is 24640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6354,8180

GCF of Fractions 6354/55,8180/448 is 2/24640

2 6354, 8180
3177, 4090

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6354,8180 By Matching Biggest Common Factor Method

Greatest Common Factor of 6354,8180 By Matching Biggest Common Factor Method

Factors of 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Factors of 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1,2,4,5,10,20,409,818,1636,2045,4090,8180

Greatest Common Factor

We found the factors 6354,8180 . The biggest common factor number is the GCF number.
So the greatest common factor 6354,8180 is 2.

Lets's calculate LCM of 55,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 24640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24640

Therefore, the GCF of Fractions 6354/55,8180/448 is 2/24640

Least Common Multiple of 55,448 with GCF Formula

Least Common Multiple of 55,448 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 55,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,448) = 1

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

GCF(55,448) x common factors =1 x 1 = 1

LCM(55,448) = ( 55 × 448 ) / 1

LCM(55,448) = 24640 / 1

LCM(55,448) = 24640


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 6354/55, 8180/448

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 6354/55, 8180/448?

Answer: GCF of Numerators as per given numbers 6354/55, 8180/448 is

GCF of Numerators i.e. for 6354,8180 is 2

LCM of denominators i.e. for 55,448 is 24640.

Thus, GCF of Fractions is 2/24640.Finally, GCF of Fractions for 6354/55, 8180/448 is 2/24640.