Greatest Common Factor of 9350/950, 2712/5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9350/950, 2712/5250

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 9350/950,2712/5250

Given fractions are 9350/950,2712/5250

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 9350,2712

Greatest Common Factor of Numerators i.e. GCF of 9350,2712 is 2 .

LCM of Denominators means LCM of 950,5250 as per the given fractions.

LCM of 950,5250 is 99750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9350,2712

GCF of Fractions 9350/950,2712/5250 is 2/99750

2 9350, 2712
4675, 1356

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

Greatest Common Factor of 9350,2712 By Matching Biggest Common Factor Method

Greatest Common Factor of 9350,2712 By Matching Biggest Common Factor Method

Factors of 9350

List of positive integer factors of 9350 that divides 9350 without a remainder.

1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Greatest Common Factor

We found the factors 9350,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 9350,2712 is 2.

Lets's calculate LCM of 950,5250

2 950, 5250
5 475, 2625
5 95, 525
19, 105

∴ So the LCM of the given numbers is 2 x 5 x 5 x 19 x 105 = 99750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/99750

Therefore, the GCF of Fractions 9350/950,2712/5250 is 2/99750

Least Common Multiple of 950,5250 with GCF Formula

Least Common Multiple of 950,5250 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 950,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,5250) = 50

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

GCF(950,5250) x common factors =50 x 1 = 50

LCM(950,5250) = ( 950 × 5250 ) / 50

LCM(950,5250) = 4987500 / 50

LCM(950,5250) = 99750


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 9350/950, 2712/5250

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 9350/950, 2712/5250?

Answer: GCF of Numerators as per given numbers 9350/950, 2712/5250 is

GCF of Numerators i.e. for 9350,2712 is 2

LCM of denominators i.e. for 950,5250 is 99750.

Thus, GCF of Fractions is 2/99750.Finally, GCF of Fractions for 9350/950, 2712/5250 is 2/99750.