Greatest Common Factor of 332/78, 812/17, 144/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 332/78, 812/17, 144/876

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 332/78,812/17,144/876

Given fractions are 332/78,812/17,144/876

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 332,812,144

Greatest Common Factor of Numerators i.e. GCF of 332,812,144 is 4 .

LCM of Denominators means LCM of 78,17,876 as per the given fractions.

LCM of 78,17,876 is 193596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 332,812,144

GCF of Fractions 332/78,812/17,144/876 is 4/193596

2 332, 812, 144
2 166, 406, 72
83, 203, 36

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 332,812,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,812,144 By Matching Biggest Common Factor Method

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

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

Greatest Common Factor

We found the factors 332,812,144 . The biggest common factor number is the GCF number.
So the greatest common factor 332,812,144 is 4.

Lets's calculate LCM of 78,17,876

2 78, 17, 876
3 39, 17, 438
13, 17, 146

∴ So the LCM of the given numbers is 2 x 3 x 13 x 17 x 146 = 193596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/193596

Therefore, the GCF of Fractions 332/78,812/17,144/876 is 4/193596

Least Common Multiple of 78,17,876 with GCF Formula

Least Common Multiple of 78,17,876 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 78,17,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,17,876) = 1

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

GCF(78,17,876) x common factors =1 x 6 = 6

LCM(78,17,876) = ( 78 × 17 × 876 ) / 6

LCM(78,17,876) = 1161576 / 6

LCM(78,17,876) = 193596


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 332/78, 812/17, 144/876

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 332/78, 812/17, 144/876?

Answer: GCF of Numerators as per given numbers 332/78, 812/17, 144/876 is

GCF of Numerators i.e. for 332,812,144 is 4

LCM of denominators i.e. for 78,17,876 is 193596.

Thus, GCF of Fractions is 4/193596.Finally, GCF of Fractions for 332/78, 812/17, 144/876 is 4/193596.