Greatest Common Factor of 730/488, 120/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/488, 120/959

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 730/488,120/959

Given fractions are 730/488,120/959

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 730,120

Greatest Common Factor of Numerators i.e. GCF of 730,120 is 10 .

LCM of Denominators means LCM of 488,959 as per the given fractions.

LCM of 488,959 is 467992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,120

GCF of Fractions 730/488,120/959 is 10/467992

2 730, 120
5 365, 60
73, 12

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 730,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,120 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 730,120 . The biggest common factor number is the GCF number.
So the greatest common factor 730,120 is 10.

Lets's calculate LCM of 488,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 467992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/467992

Therefore, the GCF of Fractions 730/488,120/959 is 10/467992

Least Common Multiple of 488,959 with GCF Formula

Least Common Multiple of 488,959 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 488,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,959) = 1

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

GCF(488,959) x common factors =1 x 1 = 1

LCM(488,959) = ( 488 × 959 ) / 1

LCM(488,959) = 467992 / 1

LCM(488,959) = 467992


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 730/488, 120/959

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 730/488, 120/959?

Answer: GCF of Numerators as per given numbers 730/488, 120/959 is

GCF of Numerators i.e. for 730,120 is 10

LCM of denominators i.e. for 488,959 is 467992.

Thus, GCF of Fractions is 10/467992.Finally, GCF of Fractions for 730/488, 120/959 is 10/467992.