Greatest Common Factor of 788/688, 306/972, 366/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 788/688, 306/972, 366/405

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 788/688,306/972,366/405

Given fractions are 788/688,306/972,366/405

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 788,306,366

Greatest Common Factor of Numerators i.e. GCF of 788,306,366 is 2 .

LCM of Denominators means LCM of 688,972,405 as per the given fractions.

LCM of 688,972,405 is 835920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 788,306,366

GCF of Fractions 788/688,306/972,366/405 is 2/835920

2 788, 306, 366
394, 153, 183

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

Greatest Common Factor of 788,306,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,306,366 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 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 788,306,366 . The biggest common factor number is the GCF number.
So the greatest common factor 788,306,366 is 2.

Lets's calculate LCM of 688,972,405

2 688, 972, 405
2 344, 486, 405
3 172, 243, 405
3 172, 81, 135
3 172, 27, 45
3 172, 9, 15
172, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 172 x 3 x 5 = 835920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/835920

Therefore, the GCF of Fractions 788/688,306/972,366/405 is 2/835920

Least Common Multiple of 688,972,405 with GCF Formula

Least Common Multiple of 688,972,405 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 688,972,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,972,405) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(688,972,405) x common factors =1 x 324 = 324

LCM(688,972,405) = ( 688 × 972 × 405 ) / 324

LCM(688,972,405) = 270838080 / 324

LCM(688,972,405) = 835920


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 788/688, 306/972, 366/405

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 788/688, 306/972, 366/405?

Answer: GCF of Numerators as per given numbers 788/688, 306/972, 366/405 is

GCF of Numerators i.e. for 788,306,366 is 2

LCM of denominators i.e. for 688,972,405 is 835920.

Thus, GCF of Fractions is 2/835920.Finally, GCF of Fractions for 788/688, 306/972, 366/405 is 2/835920.