Greatest Common Factor of 9074/80, 7458/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9074/80, 7458/624

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 9074/80,7458/624

Given fractions are 9074/80,7458/624

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 9074,7458

Greatest Common Factor of Numerators i.e. GCF of 9074,7458 is 2 .

LCM of Denominators means LCM of 80,624 as per the given fractions.

LCM of 80,624 is 3120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9074,7458

GCF of Fractions 9074/80,7458/624 is 2/3120

2 9074, 7458
4537, 3729

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

Greatest Common Factor of 9074,7458 By Matching Biggest Common Factor Method

Greatest Common Factor of 9074,7458 By Matching Biggest Common Factor Method

Factors of 9074

List of positive integer factors of 9074 that divides 9074 without a remainder.

1,2,13,26,349,698,4537,9074

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Greatest Common Factor

We found the factors 9074,7458 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,7458 is 2.

Lets's calculate LCM of 80,624

2 80, 624
2 40, 312
2 20, 156
2 10, 78
5, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 39 = 3120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3120

Therefore, the GCF of Fractions 9074/80,7458/624 is 2/3120

Least Common Multiple of 80,624 with GCF Formula

Least Common Multiple of 80,624 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 80,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,624) = 16

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

GCF(80,624) x common factors =16 x 1 = 16

LCM(80,624) = ( 80 × 624 ) / 16

LCM(80,624) = 49920 / 16

LCM(80,624) = 3120


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 9074/80, 7458/624

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 9074/80, 7458/624?

Answer: GCF of Numerators as per given numbers 9074/80, 7458/624 is

GCF of Numerators i.e. for 9074,7458 is 2

LCM of denominators i.e. for 80,624 is 3120.

Thus, GCF of Fractions is 2/3120.Finally, GCF of Fractions for 9074/80, 7458/624 is 2/3120.