Greatest Common Factor of 7148/432, 7484/3085

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7148/432, 7484/3085

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 7148/432,7484/3085

Given fractions are 7148/432,7484/3085

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 7148,7484

Greatest Common Factor of Numerators i.e. GCF of 7148,7484 is 4 .

LCM of Denominators means LCM of 432,3085 as per the given fractions.

LCM of 432,3085 is 1332720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7148,7484

GCF of Fractions 7148/432,7484/3085 is 4/1332720

2 7148, 7484
2 3574, 3742
1787, 1871

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7148,7484 By Matching Biggest Common Factor Method

Greatest Common Factor of 7148,7484 By Matching Biggest Common Factor Method

Factors of 7148

List of positive integer factors of 7148 that divides 7148 without a remainder.

1,2,4,1787,3574,7148

Factors of 7484

List of positive integer factors of 7484 that divides 7484 without a remainder.

1,2,4,1871,3742,7484

Greatest Common Factor

We found the factors 7148,7484 . The biggest common factor number is the GCF number.
So the greatest common factor 7148,7484 is 4.

Lets's calculate LCM of 432,3085

Given numbers has no common factors except 1. So, there LCM is their product i.e 1332720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1332720

Therefore, the GCF of Fractions 7148/432,7484/3085 is 4/1332720

Least Common Multiple of 432,3085 with GCF Formula

Least Common Multiple of 432,3085 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 432,3085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,3085) = 1

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

GCF(432,3085) x common factors =1 x 1 = 1

LCM(432,3085) = ( 432 × 3085 ) / 1

LCM(432,3085) = 1332720 / 1

LCM(432,3085) = 1332720


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 7148/432, 7484/3085

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 7148/432, 7484/3085?

Answer: GCF of Numerators as per given numbers 7148/432, 7484/3085 is

GCF of Numerators i.e. for 7148,7484 is 4

LCM of denominators i.e. for 432,3085 is 1332720.

Thus, GCF of Fractions is 4/1332720.Finally, GCF of Fractions for 7148/432, 7484/3085 is 4/1332720.