Greatest Common Factor of 730/263, 438/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 730/263, 438/883

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 730/263,438/883

Given fractions are 730/263,438/883

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 730,438

Greatest Common Factor of Numerators i.e. GCF of 730,438 is 146 .

LCM of Denominators means LCM of 263,883 as per the given fractions.

LCM of 263,883 is 232229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 730,438

GCF of Fractions 730/263,438/883 is 146/232229

2 730, 438
73 365, 219
5, 3

∴ So the GCF of the given numbers is 2 x 73 = 146

Greatest Common Factor of 730,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,438 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 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 730,438 . The biggest common factor number is the GCF number.
So the greatest common factor 730,438 is 146.

Lets's calculate LCM of 263,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 232229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 146/232229

Therefore, the GCF of Fractions 730/263,438/883 is 146/232229

Least Common Multiple of 263,883 with GCF Formula

Least Common Multiple of 263,883 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 263,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,883) = 1

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

GCF(263,883) x common factors =1 x 1 = 1

LCM(263,883) = ( 263 × 883 ) / 1

LCM(263,883) = 232229 / 1

LCM(263,883) = 232229


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 730/263, 438/883

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 730/263, 438/883?

Answer: GCF of Numerators as per given numbers 730/263, 438/883 is

GCF of Numerators i.e. for 730,438 is 146

LCM of denominators i.e. for 263,883 is 232229.

Thus, GCF of Fractions is 146/232229.Finally, GCF of Fractions for 730/263, 438/883 is 146/232229.