Greatest Common Factor of 230/48, 644/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 230/48, 644/797

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 230/48,644/797

Given fractions are 230/48,644/797

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 230,644

Greatest Common Factor of Numerators i.e. GCF of 230,644 is 46 .

LCM of Denominators means LCM of 48,797 as per the given fractions.

LCM of 48,797 is 38256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,644

GCF of Fractions 230/48,644/797 is 46/38256

2 230, 644
23 115, 322
5, 14

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 230,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,644 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 230,644 . The biggest common factor number is the GCF number.
So the greatest common factor 230,644 is 46.


Lets's calculate LCM of 48,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 38256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/38256

Therefore, the GCF of Fractions 230/48,644/797 is 46/38256

Least Common Multiple of 48,797 with GCF Formula

Least Common Multiple of 48,797 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 48,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,797) = 1

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

GCF(48,797) x common factors =1 x 1 = 1

LCM(48,797) = ( 48 × 797 ) / 1

LCM(48,797) = 38256 / 1

LCM(48,797) = 38256


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 230/48, 644/797

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 230/48, 644/797?

Answer: GCF of Numerators as per given numbers 230/48, 644/797 is

GCF of Numerators i.e. for 230,644 is 46

LCM of denominators i.e. for 48,797 is 38256.

Thus, GCF of Fractions is 46/38256.Finally, GCF of Fractions for 230/48, 644/797 is 46/38256.