Greatest Common Factor of 788/58, 362/6720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/58, 362/6720

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 788/58,362/6720

Given fractions are 788/58,362/6720

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 788,362

Greatest Common Factor of Numerators i.e. GCF of 788,362 is 2 .

LCM of Denominators means LCM of 58,6720 as per the given fractions.

LCM of 58,6720 is 194880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,362

GCF of Fractions 788/58,362/6720 is 2/194880

2 788, 362
394, 181

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

Greatest Common Factor of 788,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,362 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 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 788,362 . The biggest common factor number is the GCF number.
So the greatest common factor 788,362 is 2.

Lets's calculate LCM of 58,6720

2 58, 6720
29, 3360

∴ So the LCM of the given numbers is 2 x 29 x 3360 = 194880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194880

Therefore, the GCF of Fractions 788/58,362/6720 is 2/194880

Least Common Multiple of 58,6720 with GCF Formula

Least Common Multiple of 58,6720 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 58,6720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,6720) = 2

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

GCF(58,6720) x common factors =2 x 1 = 2

LCM(58,6720) = ( 58 × 6720 ) / 2

LCM(58,6720) = 389760 / 2

LCM(58,6720) = 194880


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 788/58, 362/6720

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 788/58, 362/6720?

Answer: GCF of Numerators as per given numbers 788/58, 362/6720 is

GCF of Numerators i.e. for 788,362 is 2

LCM of denominators i.e. for 58,6720 is 194880.

Thus, GCF of Fractions is 2/194880.Finally, GCF of Fractions for 788/58, 362/6720 is 2/194880.