Greatest Common Factor of 47/232, 908/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/232, 908/753

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 47/232,908/753

Given fractions are 47/232,908/753

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 47,908

Greatest Common Factor of Numerators i.e. GCF of 47,908 is 1 .

LCM of Denominators means LCM of 232,753 as per the given fractions.

LCM of 232,753 is 174696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,908

GCF of Fractions 47/232,908/753 is 1/174696

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 47,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,908 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 47,908 . The biggest common factor number is the GCF number.
So the greatest common factor 47,908 is 1.

Lets's calculate LCM of 232,753

Given numbers has no common factors except 1. So, there LCM is their product i.e 174696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174696

Therefore, the GCF of Fractions 47/232,908/753 is 1/174696

Least Common Multiple of 232,753 with GCF Formula

Least Common Multiple of 232,753 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 232,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,753) = 1

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

GCF(232,753) x common factors =1 x 1 = 1

LCM(232,753) = ( 232 × 753 ) / 1

LCM(232,753) = 174696 / 1

LCM(232,753) = 174696


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 47/232, 908/753

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 47/232, 908/753?

Answer: GCF of Numerators as per given numbers 47/232, 908/753 is

GCF of Numerators i.e. for 47,908 is 1

LCM of denominators i.e. for 232,753 is 174696.

Thus, GCF of Fractions is 1/174696.Finally, GCF of Fractions for 47/232, 908/753 is 1/174696.