Greatest Common Factor of 9142/75, 8932/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9142/75, 8932/969

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 9142/75,8932/969

Given fractions are 9142/75,8932/969

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 9142,8932

Greatest Common Factor of Numerators i.e. GCF of 9142,8932 is 14 .

LCM of Denominators means LCM of 75,969 as per the given fractions.

LCM of 75,969 is 24225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9142,8932

GCF of Fractions 9142/75,8932/969 is 14/24225

2 9142, 8932
7 4571, 4466
653, 638

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9142,8932 By Matching Biggest Common Factor Method

Greatest Common Factor of 9142,8932 By Matching Biggest Common Factor Method

Factors of 9142

List of positive integer factors of 9142 that divides 9142 without a remainder.

1,2,7,14,653,1306,4571,9142

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Greatest Common Factor

We found the factors 9142,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 9142,8932 is 14.

Lets's calculate LCM of 75,969

3 75, 969
25, 323

∴ So the LCM of the given numbers is 3 x 25 x 323 = 24225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/24225

Therefore, the GCF of Fractions 9142/75,8932/969 is 14/24225

Least Common Multiple of 75,969 with GCF Formula

Least Common Multiple of 75,969 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 75,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,969) = 3

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

GCF(75,969) x common factors =3 x 1 = 3

LCM(75,969) = ( 75 × 969 ) / 3

LCM(75,969) = 72675 / 3

LCM(75,969) = 24225


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 9142/75, 8932/969

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 9142/75, 8932/969?

Answer: GCF of Numerators as per given numbers 9142/75, 8932/969 is

GCF of Numerators i.e. for 9142,8932 is 14

LCM of denominators i.e. for 75,969 is 24225.

Thus, GCF of Fractions is 14/24225.Finally, GCF of Fractions for 9142/75, 8932/969 is 14/24225.