Greatest Common Factor of 492/75, 878/76, 765/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 492/75, 878/76, 765/232

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 492/75,878/76,765/232

Given fractions are 492/75,878/76,765/232

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 492,878,765

Greatest Common Factor of Numerators i.e. GCF of 492,878,765 is 1 .

LCM of Denominators means LCM of 75,76,232 as per the given fractions.

LCM of 75,76,232 is 330600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 492,878,765

GCF of Fractions 492/75,878/76,765/232 is 1/330600

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

Greatest Common Factor of 492,878,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,878,765 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 492,878,765 . The biggest common factor number is the GCF number.
So the greatest common factor 492,878,765 is 1.

Lets's calculate LCM of 75,76,232

2 75, 76, 232
2 75, 38, 116
75, 19, 58

∴ So the LCM of the given numbers is 2 x 2 x 75 x 19 x 58 = 330600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330600

Therefore, the GCF of Fractions 492/75,878/76,765/232 is 1/330600

Least Common Multiple of 75,76,232 with GCF Formula

Least Common Multiple of 75,76,232 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 75,76,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,76,232) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(75,76,232) x common factors =1 x 4 = 4

LCM(75,76,232) = ( 75 × 76 × 232 ) / 4

LCM(75,76,232) = 1322400 / 4

LCM(75,76,232) = 330600


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 492/75, 878/76, 765/232

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 492/75, 878/76, 765/232?

Answer: GCF of Numerators as per given numbers 492/75, 878/76, 765/232 is

GCF of Numerators i.e. for 492,878,765 is 1

LCM of denominators i.e. for 75,76,232 is 330600.

Thus, GCF of Fractions is 1/330600.Finally, GCF of Fractions for 492/75, 878/76, 765/232 is 1/330600.