Greatest Common Factor of 788/76, 162/1354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/76, 162/1354

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 788/76,162/1354

Given fractions are 788/76,162/1354

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 788,162

Greatest Common Factor of Numerators i.e. GCF of 788,162 is 2 .

LCM of Denominators means LCM of 76,1354 as per the given fractions.

LCM of 76,1354 is 51452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,162

GCF of Fractions 788/76,162/1354 is 2/51452

2 788, 162
394, 81

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 788,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,162 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 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 788,162 . The biggest common factor number is the GCF number.
So the greatest common factor 788,162 is 2.

Lets's calculate LCM of 76,1354

2 76, 1354
38, 677

∴ So the LCM of the given numbers is 2 x 38 x 677 = 51452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51452

Therefore, the GCF of Fractions 788/76,162/1354 is 2/51452

Least Common Multiple of 76,1354 with GCF Formula

Least Common Multiple of 76,1354 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 76,1354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1354) = 2

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

GCF(76,1354) x common factors =2 x 1 = 2

LCM(76,1354) = ( 76 × 1354 ) / 2

LCM(76,1354) = 102904 / 2

LCM(76,1354) = 51452


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 788/76, 162/1354

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 788/76, 162/1354?

Answer: GCF of Numerators as per given numbers 788/76, 162/1354 is

GCF of Numerators i.e. for 788,162 is 2

LCM of denominators i.e. for 76,1354 is 51452.

Thus, GCF of Fractions is 2/51452.Finally, GCF of Fractions for 788/76, 162/1354 is 2/51452.