Greatest Common Factor of 769/477, 1393/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 769/477, 1393/304

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 769/477,1393/304

Given fractions are 769/477,1393/304

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 769,1393

Greatest Common Factor of Numerators i.e. GCF of 769,1393 is 1 .

LCM of Denominators means LCM of 477,304 as per the given fractions.

LCM of 477,304 is 145008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 769,1393

GCF of Fractions 769/477,1393/304 is 1/145008

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

Greatest Common Factor of 769,1393 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,1393 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1,7,199,1393

Greatest Common Factor

We found the factors 769,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 769,1393 is 1.

Lets's calculate LCM of 477,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 145008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145008

Therefore, the GCF of Fractions 769/477,1393/304 is 1/145008

Least Common Multiple of 477,304 with GCF Formula

Least Common Multiple of 477,304 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 477,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,304) = 1

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

GCF(477,304) x common factors =1 x 1 = 1

LCM(477,304) = ( 477 × 304 ) / 1

LCM(477,304) = 145008 / 1

LCM(477,304) = 145008


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 769/477, 1393/304

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 769/477, 1393/304?

Answer: GCF of Numerators as per given numbers 769/477, 1393/304 is

GCF of Numerators i.e. for 769,1393 is 1

LCM of denominators i.e. for 477,304 is 145008.

Thus, GCF of Fractions is 1/145008.Finally, GCF of Fractions for 769/477, 1393/304 is 1/145008.