Greatest Common Factor of 304/59, 122/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 304/59, 122/656

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 304/59,122/656

Given fractions are 304/59,122/656

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 304,122

Greatest Common Factor of Numerators i.e. GCF of 304,122 is 2 .

LCM of Denominators means LCM of 59,656 as per the given fractions.

LCM of 59,656 is 38704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 304,122

GCF of Fractions 304/59,122/656 is 2/38704

2 304, 122
152, 61

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

Greatest Common Factor of 304,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,122 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 304,122 . The biggest common factor number is the GCF number.
So the greatest common factor 304,122 is 2.

Lets's calculate LCM of 59,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 38704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/38704

Therefore, the GCF of Fractions 304/59,122/656 is 2/38704

Least Common Multiple of 59,656 with GCF Formula

Least Common Multiple of 59,656 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 59,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,656) = 1

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

GCF(59,656) x common factors =1 x 1 = 1

LCM(59,656) = ( 59 × 656 ) / 1

LCM(59,656) = 38704 / 1

LCM(59,656) = 38704


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 304/59, 122/656

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 304/59, 122/656?

Answer: GCF of Numerators as per given numbers 304/59, 122/656 is

GCF of Numerators i.e. for 304,122 is 2

LCM of denominators i.e. for 59,656 is 38704.

Thus, GCF of Fractions is 2/38704.Finally, GCF of Fractions for 304/59, 122/656 is 2/38704.