Greatest Common Factor of 48/654, 7176/1723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/654, 7176/1723

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 48/654,7176/1723

Given fractions are 48/654,7176/1723

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 48,7176

Greatest Common Factor of Numerators i.e. GCF of 48,7176 is 24 .

LCM of Denominators means LCM of 654,1723 as per the given fractions.

LCM of 654,1723 is 1126842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,7176

GCF of Fractions 48/654,7176/1723 is 24/1126842

2 48, 7176
2 24, 3588
2 12, 1794
3 6, 897
2, 299

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 48,7176 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7176 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176

Greatest Common Factor

We found the factors 48,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7176 is 24.

Lets's calculate LCM of 654,1723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1126842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/1126842

Therefore, the GCF of Fractions 48/654,7176/1723 is 24/1126842

Least Common Multiple of 654,1723 with GCF Formula

Least Common Multiple of 654,1723 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 654,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,1723) = 1

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

GCF(654,1723) x common factors =1 x 1 = 1

LCM(654,1723) = ( 654 × 1723 ) / 1

LCM(654,1723) = 1126842 / 1

LCM(654,1723) = 1126842


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 48/654, 7176/1723

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 48/654, 7176/1723?

Answer: GCF of Numerators as per given numbers 48/654, 7176/1723 is

GCF of Numerators i.e. for 48,7176 is 24

LCM of denominators i.e. for 654,1723 is 1126842.

Thus, GCF of Fractions is 24/1126842.Finally, GCF of Fractions for 48/654, 7176/1723 is 24/1126842.