Greatest Common Factor of 147/75, 4480/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/75, 4480/484

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 147/75,4480/484

Given fractions are 147/75,4480/484

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 147,4480

Greatest Common Factor of Numerators i.e. GCF of 147,4480 is 7 .

LCM of Denominators means LCM of 75,484 as per the given fractions.

LCM of 75,484 is 36300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,4480

GCF of Fractions 147/75,4480/484 is 7/36300

7 147, 4480
21, 640

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 147,4480 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,4480 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

Greatest Common Factor

We found the factors 147,4480 . The biggest common factor number is the GCF number.
So the greatest common factor 147,4480 is 7.

Lets's calculate LCM of 75,484

Given numbers has no common factors except 1. So, there LCM is their product i.e 36300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/36300

Therefore, the GCF of Fractions 147/75,4480/484 is 7/36300

Least Common Multiple of 75,484 with GCF Formula

Least Common Multiple of 75,484 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 75,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,484) = 1

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

GCF(75,484) x common factors =1 x 1 = 1

LCM(75,484) = ( 75 × 484 ) / 1

LCM(75,484) = 36300 / 1

LCM(75,484) = 36300


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 147/75, 4480/484

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 147/75, 4480/484?

Answer: GCF of Numerators as per given numbers 147/75, 4480/484 is

GCF of Numerators i.e. for 147,4480 is 7

LCM of denominators i.e. for 75,484 is 36300.

Thus, GCF of Fractions is 7/36300.Finally, GCF of Fractions for 147/75, 4480/484 is 7/36300.