Greatest Common Factor of 759/177, 323/678, 804/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/177, 323/678, 804/356

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 759/177,323/678,804/356

Given fractions are 759/177,323/678,804/356

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 759,323,804

Greatest Common Factor of Numerators i.e. GCF of 759,323,804 is 1 .

LCM of Denominators means LCM of 177,678,356 as per the given fractions.

LCM of 177,678,356 is 7120356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,323,804

GCF of Fractions 759/177,323/678,804/356 is 1/7120356

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

Greatest Common Factor of 759,323,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,323,804 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 759,323,804 . The biggest common factor number is the GCF number.
So the greatest common factor 759,323,804 is 1.

Lets's calculate LCM of 177,678,356

2 177, 678, 356
3 177, 339, 178
59, 113, 178

∴ So the LCM of the given numbers is 2 x 3 x 59 x 113 x 178 = 7120356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7120356

Therefore, the GCF of Fractions 759/177,323/678,804/356 is 1/7120356

Least Common Multiple of 177,678,356 with GCF Formula

Least Common Multiple of 177,678,356 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 177,678,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,678,356) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(177,678,356) x common factors =1 x 6 = 6

LCM(177,678,356) = ( 177 × 678 × 356 ) / 6

LCM(177,678,356) = 42722136 / 6

LCM(177,678,356) = 7120356


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 759/177, 323/678, 804/356

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 759/177, 323/678, 804/356?

Answer: GCF of Numerators as per given numbers 759/177, 323/678, 804/356 is

GCF of Numerators i.e. for 759,323,804 is 1

LCM of denominators i.e. for 177,678,356 is 7120356.

Thus, GCF of Fractions is 1/7120356.Finally, GCF of Fractions for 759/177, 323/678, 804/356 is 1/7120356.