Greatest Common Factor of 144/56, 884/29, 124/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/56, 884/29, 124/829

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 144/56,884/29,124/829

Given fractions are 144/56,884/29,124/829

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 144,884,124

Greatest Common Factor of Numerators i.e. GCF of 144,884,124 is 4 .

LCM of Denominators means LCM of 56,29,829 as per the given fractions.

LCM of 56,29,829 is 1346296 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,884,124

GCF of Fractions 144/56,884/29,124/829 is 4/1346296

2 144, 884, 124
2 72, 442, 62
36, 221, 31

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

Greatest Common Factor of 144,884,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,884,124 By Matching Biggest Common Factor Method

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

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 144,884,124 . The biggest common factor number is the GCF number.
So the greatest common factor 144,884,124 is 4.

Lets's calculate LCM of 56,29,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 1346296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1346296

Therefore, the GCF of Fractions 144/56,884/29,124/829 is 4/1346296

Least Common Multiple of 56,29,829 with GCF Formula

Least Common Multiple of 56,29,829 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 56,29,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,29,829) = 1

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

GCF(56,29,829) x common factors =1 x 1 = 1

LCM(56,29,829) = ( 56 × 29 × 829 ) / 1

LCM(56,29,829) = 1346296 / 1

LCM(56,29,829) = 1346296


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 144/56, 884/29, 124/829

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 144/56, 884/29, 124/829?

Answer: GCF of Numerators as per given numbers 144/56, 884/29, 124/829 is

GCF of Numerators i.e. for 144,884,124 is 4

LCM of denominators i.e. for 56,29,829 is 1346296.

Thus, GCF of Fractions is 4/1346296.Finally, GCF of Fractions for 144/56, 884/29, 124/829 is 4/1346296.