Greatest Common Factor of 7450/549, 7152/5108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7450/549, 7152/5108

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 7450/549,7152/5108

Given fractions are 7450/549,7152/5108

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 7450,7152

Greatest Common Factor of Numerators i.e. GCF of 7450,7152 is 298 .

LCM of Denominators means LCM of 549,5108 as per the given fractions.

LCM of 549,5108 is 2804292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7450,7152

GCF of Fractions 7450/549,7152/5108 is 298/2804292

2 7450, 7152
149 3725, 3576
25, 24

∴ So the GCF of the given numbers is 2 x 149 = 298

Greatest Common Factor of 7450,7152 By Matching Biggest Common Factor Method

Greatest Common Factor of 7450,7152 By Matching Biggest Common Factor Method

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Greatest Common Factor

We found the factors 7450,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,7152 is 298.

Lets's calculate LCM of 549,5108

Given numbers has no common factors except 1. So, there LCM is their product i.e 2804292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 298/2804292

Therefore, the GCF of Fractions 7450/549,7152/5108 is 298/2804292

Least Common Multiple of 549,5108 with GCF Formula

Least Common Multiple of 549,5108 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 549,5108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,5108) = 1

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

GCF(549,5108) x common factors =1 x 1 = 1

LCM(549,5108) = ( 549 × 5108 ) / 1

LCM(549,5108) = 2804292 / 1

LCM(549,5108) = 2804292


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 7450/549, 7152/5108

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 7450/549, 7152/5108?

Answer: GCF of Numerators as per given numbers 7450/549, 7152/5108 is

GCF of Numerators i.e. for 7450,7152 is 298

LCM of denominators i.e. for 549,5108 is 2804292.

Thus, GCF of Fractions is 298/2804292.Finally, GCF of Fractions for 7450/549, 7152/5108 is 298/2804292.