Greatest Common Factor of 183/792, 753/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/792, 753/235

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 183/792,753/235

Given fractions are 183/792,753/235

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 183,753

Greatest Common Factor of Numerators i.e. GCF of 183,753 is 3 .

LCM of Denominators means LCM of 792,235 as per the given fractions.

LCM of 792,235 is 186120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,753

GCF of Fractions 183/792,753/235 is 3/186120

3 183, 753
61, 251

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 183,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,753 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 183,753 . The biggest common factor number is the GCF number.
So the greatest common factor 183,753 is 3.

Lets's calculate LCM of 792,235

Given numbers has no common factors except 1. So, there LCM is their product i.e 186120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/186120

Therefore, the GCF of Fractions 183/792,753/235 is 3/186120

Least Common Multiple of 792,235 with GCF Formula

Least Common Multiple of 792,235 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 792,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,235) = 1

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

GCF(792,235) x common factors =1 x 1 = 1

LCM(792,235) = ( 792 × 235 ) / 1

LCM(792,235) = 186120 / 1

LCM(792,235) = 186120


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 183/792, 753/235

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 183/792, 753/235?

Answer: GCF of Numerators as per given numbers 183/792, 753/235 is

GCF of Numerators i.e. for 183,753 is 3

LCM of denominators i.e. for 792,235 is 186120.

Thus, GCF of Fractions is 3/186120.Finally, GCF of Fractions for 183/792, 753/235 is 3/186120.