Greatest Common Factor of 7468/254, 1574/9748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7468/254, 1574/9748

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 7468/254,1574/9748

Given fractions are 7468/254,1574/9748

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 7468,1574

Greatest Common Factor of Numerators i.e. GCF of 7468,1574 is 2 .

LCM of Denominators means LCM of 254,9748 as per the given fractions.

LCM of 254,9748 is 1237996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7468,1574

GCF of Fractions 7468/254,1574/9748 is 2/1237996

2 7468, 1574
3734, 787

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

Greatest Common Factor of 7468,1574 By Matching Biggest Common Factor Method

Greatest Common Factor of 7468,1574 By Matching Biggest Common Factor Method

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1,2,787,1574

Greatest Common Factor

We found the factors 7468,1574 . The biggest common factor number is the GCF number.
So the greatest common factor 7468,1574 is 2.

Lets's calculate LCM of 254,9748

2 254, 9748
127, 4874

∴ So the LCM of the given numbers is 2 x 127 x 4874 = 1237996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1237996

Therefore, the GCF of Fractions 7468/254,1574/9748 is 2/1237996

Least Common Multiple of 254,9748 with GCF Formula

Least Common Multiple of 254,9748 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 254,9748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,9748) = 2

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

GCF(254,9748) x common factors =2 x 1 = 2

LCM(254,9748) = ( 254 × 9748 ) / 2

LCM(254,9748) = 2475992 / 2

LCM(254,9748) = 1237996


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 7468/254, 1574/9748

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 7468/254, 1574/9748?

Answer: GCF of Numerators as per given numbers 7468/254, 1574/9748 is

GCF of Numerators i.e. for 7468,1574 is 2

LCM of denominators i.e. for 254,9748 is 1237996.

Thus, GCF of Fractions is 2/1237996.Finally, GCF of Fractions for 7468/254, 1574/9748 is 2/1237996.