Greatest Common Factor of 7050/45, 4340/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7050/45, 4340/549

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 7050/45,4340/549

Given fractions are 7050/45,4340/549

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 7050,4340

Greatest Common Factor of Numerators i.e. GCF of 7050,4340 is 10 .

LCM of Denominators means LCM of 45,549 as per the given fractions.

LCM of 45,549 is 2745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7050,4340

GCF of Fractions 7050/45,4340/549 is 10/2745

2 7050, 4340
5 3525, 2170
705, 434

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7050,4340 By Matching Biggest Common Factor Method

Greatest Common Factor of 7050,4340 By Matching Biggest Common Factor Method

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050

Factors of 4340

List of positive integer factors of 4340 that divides 4340 without a remainder.

1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340

Greatest Common Factor

We found the factors 7050,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 7050,4340 is 10.

Lets's calculate LCM of 45,549

3 45, 549
3 15, 183
5, 61

∴ So the LCM of the given numbers is 3 x 3 x 5 x 61 = 2745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2745

Therefore, the GCF of Fractions 7050/45,4340/549 is 10/2745

Least Common Multiple of 45,549 with GCF Formula

Least Common Multiple of 45,549 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 45,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,549) = 9

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

GCF(45,549) x common factors =9 x 1 = 9

LCM(45,549) = ( 45 × 549 ) / 9

LCM(45,549) = 24705 / 9

LCM(45,549) = 2745


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 7050/45, 4340/549

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 7050/45, 4340/549?

Answer: GCF of Numerators as per given numbers 7050/45, 4340/549 is

GCF of Numerators i.e. for 7050,4340 is 10

LCM of denominators i.e. for 45,549 is 2745.

Thus, GCF of Fractions is 10/2745.Finally, GCF of Fractions for 7050/45, 4340/549 is 10/2745.