Greatest Common Factor of 711/773, 256/484, 598/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/773, 256/484, 598/425

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 711/773,256/484,598/425

Given fractions are 711/773,256/484,598/425

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 711,256,598

Greatest Common Factor of Numerators i.e. GCF of 711,256,598 is 1 .

LCM of Denominators means LCM of 773,484,425 as per the given fractions.

LCM of 773,484,425 is 159006100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,256,598

GCF of Fractions 711/773,256/484,598/425 is 1/159006100

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

Greatest Common Factor of 711,256,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,256,598 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 711,256,598 . The biggest common factor number is the GCF number.
So the greatest common factor 711,256,598 is 1.

Lets's calculate LCM of 773,484,425

Given numbers has no common factors except 1. So, there LCM is their product i.e 159006100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159006100

Therefore, the GCF of Fractions 711/773,256/484,598/425 is 1/159006100

Least Common Multiple of 773,484,425 with GCF Formula

Least Common Multiple of 773,484,425 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 773,484,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,484,425) = 1

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

GCF(773,484,425) x common factors =1 x 1 = 1

LCM(773,484,425) = ( 773 × 484 × 425 ) / 1

LCM(773,484,425) = 159006100 / 1

LCM(773,484,425) = 159006100


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 711/773, 256/484, 598/425

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 711/773, 256/484, 598/425?

Answer: GCF of Numerators as per given numbers 711/773, 256/484, 598/425 is

GCF of Numerators i.e. for 711,256,598 is 1

LCM of denominators i.e. for 773,484,425 is 159006100.

Thus, GCF of Fractions is 1/159006100.Finally, GCF of Fractions for 711/773, 256/484, 598/425 is 1/159006100.