Greatest Common Factor of 144/749, 308/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/749, 308/239

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 144/749,308/239

Given fractions are 144/749,308/239

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 144,308

Greatest Common Factor of Numerators i.e. GCF of 144,308 is 4 .

LCM of Denominators means LCM of 749,239 as per the given fractions.

LCM of 749,239 is 179011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,308

GCF of Fractions 144/749,308/239 is 4/179011

2 144, 308
2 72, 154
36, 77

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

Greatest Common Factor of 144,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,308 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 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 144,308 . The biggest common factor number is the GCF number.
So the greatest common factor 144,308 is 4.

Lets's calculate LCM of 749,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 179011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/179011

Therefore, the GCF of Fractions 144/749,308/239 is 4/179011

Least Common Multiple of 749,239 with GCF Formula

Least Common Multiple of 749,239 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 749,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,239) = 1

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

GCF(749,239) x common factors =1 x 1 = 1

LCM(749,239) = ( 749 × 239 ) / 1

LCM(749,239) = 179011 / 1

LCM(749,239) = 179011


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 144/749, 308/239

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 144/749, 308/239?

Answer: GCF of Numerators as per given numbers 144/749, 308/239 is

GCF of Numerators i.e. for 144,308 is 4

LCM of denominators i.e. for 749,239 is 179011.

Thus, GCF of Fractions is 4/179011.Finally, GCF of Fractions for 144/749, 308/239 is 4/179011.