Greatest Common Factor of 4750/20, 2751/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4750/20, 2751/192

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 4750/20,2751/192

Given fractions are 4750/20,2751/192

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 4750,2751

Greatest Common Factor of Numerators i.e. GCF of 4750,2751 is 1 .

LCM of Denominators means LCM of 20,192 as per the given fractions.

LCM of 20,192 is 960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4750,2751

GCF of Fractions 4750/20,2751/192 is 1/960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4750,2751 By Matching Biggest Common Factor Method

Greatest Common Factor of 4750,2751 By Matching Biggest Common Factor Method

Factors of 4750

List of positive integer factors of 4750 that divides 4750 without a remainder.

1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750

Factors of 2751

List of positive integer factors of 2751 that divides 2751 without a remainder.

1,3,7,21,131,393,917,2751

Greatest Common Factor

We found the factors 4750,2751 . The biggest common factor number is the GCF number.
So the greatest common factor 4750,2751 is 1.

Lets's calculate LCM of 20,192

2 20, 192
2 10, 96
5, 48

∴ So the LCM of the given numbers is 2 x 2 x 5 x 48 = 960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/960

Therefore, the GCF of Fractions 4750/20,2751/192 is 1/960

Least Common Multiple of 20,192 with GCF Formula

Least Common Multiple of 20,192 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 20,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,192) = 4

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

GCF(20,192) x common factors =4 x 1 = 4

LCM(20,192) = ( 20 × 192 ) / 4

LCM(20,192) = 3840 / 4

LCM(20,192) = 960


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 4750/20, 2751/192

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 4750/20, 2751/192?

Answer: GCF of Numerators as per given numbers 4750/20, 2751/192 is

GCF of Numerators i.e. for 4750,2751 is 1

LCM of denominators i.e. for 20,192 is 960.

Thus, GCF of Fractions is 1/960.Finally, GCF of Fractions for 4750/20, 2751/192 is 1/960.