Greatest Common Factor of 288/42, 765/66, 126/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/42, 765/66, 126/876

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 288/42,765/66,126/876

Given fractions are 288/42,765/66,126/876

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 288,765,126

Greatest Common Factor of Numerators i.e. GCF of 288,765,126 is 9 .

LCM of Denominators means LCM of 42,66,876 as per the given fractions.

LCM of 42,66,876 is 67452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,765,126

GCF of Fractions 288/42,765/66,126/876 is 9/67452

3 288, 765, 126
3 96, 255, 42
32, 85, 14

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 288,765,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,765,126 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

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

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 288,765,126 . The biggest common factor number is the GCF number.
So the greatest common factor 288,765,126 is 9.

Lets's calculate LCM of 42,66,876

2 42, 66, 876
3 21, 33, 438
7, 11, 146

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 146 = 67452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/67452

Therefore, the GCF of Fractions 288/42,765/66,126/876 is 9/67452

Least Common Multiple of 42,66,876 with GCF Formula

Least Common Multiple of 42,66,876 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 42,66,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,66,876) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(42,66,876) x common factors =6 x 6 = 36

LCM(42,66,876) = ( 42 × 66 × 876 ) / 36

LCM(42,66,876) = 2428272 / 36

LCM(42,66,876) = 67452


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 288/42, 765/66, 126/876

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 288/42, 765/66, 126/876?

Answer: GCF of Numerators as per given numbers 288/42, 765/66, 126/876 is

GCF of Numerators i.e. for 288,765,126 is 9

LCM of denominators i.e. for 42,66,876 is 67452.

Thus, GCF of Fractions is 9/67452.Finally, GCF of Fractions for 288/42, 765/66, 126/876 is 9/67452.