Greatest Common Factor of 788/616, 3923/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/616, 3923/118

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 788/616,3923/118

Given fractions are 788/616,3923/118

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 788,3923

Greatest Common Factor of Numerators i.e. GCF of 788,3923 is 1 .

LCM of Denominators means LCM of 616,118 as per the given fractions.

LCM of 616,118 is 36344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,3923

GCF of Fractions 788/616,3923/118 is 1/36344

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

Greatest Common Factor of 788,3923 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,3923 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 3923

List of positive integer factors of 3923 that divides 3923 without a remainder.

1,3923

Greatest Common Factor

We found the factors 788,3923 . The biggest common factor number is the GCF number.
So the greatest common factor 788,3923 is 1.

Lets's calculate LCM of 616,118

2 616, 118
308, 59

∴ So the LCM of the given numbers is 2 x 308 x 59 = 36344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36344

Therefore, the GCF of Fractions 788/616,3923/118 is 1/36344

Least Common Multiple of 616,118 with GCF Formula

Least Common Multiple of 616,118 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 616,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,118) = 2

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

GCF(616,118) x common factors =2 x 1 = 2

LCM(616,118) = ( 616 × 118 ) / 2

LCM(616,118) = 72688 / 2

LCM(616,118) = 36344


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 788/616, 3923/118

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 788/616, 3923/118?

Answer: GCF of Numerators as per given numbers 788/616, 3923/118 is

GCF of Numerators i.e. for 788,3923 is 1

LCM of denominators i.e. for 616,118 is 36344.

Thus, GCF of Fractions is 1/36344.Finally, GCF of Fractions for 788/616, 3923/118 is 1/36344.