Greatest Common Factor of 772/834, 394/287, 475/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 772/834, 394/287, 475/177

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 772/834,394/287,475/177

Given fractions are 772/834,394/287,475/177

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 772,394,475

Greatest Common Factor of Numerators i.e. GCF of 772,394,475 is 1 .

LCM of Denominators means LCM of 834,287,177 as per the given fractions.

LCM of 834,287,177 is 14122122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 772,394,475

GCF of Fractions 772/834,394/287,475/177 is 1/14122122

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

Greatest Common Factor of 772,394,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,394,475 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 772,394,475 . The biggest common factor number is the GCF number.
So the greatest common factor 772,394,475 is 1.


Lets's calculate LCM of 834,287,177

3 834, 287, 177
278, 287, 59

∴ So the LCM of the given numbers is 3 x 278 x 287 x 59 = 14122122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14122122

Therefore, the GCF of Fractions 772/834,394/287,475/177 is 1/14122122

Least Common Multiple of 834,287,177 with GCF Formula

Least Common Multiple of 834,287,177 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 834,287,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,287,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(834,287,177) x common factors =1 x 3 = 3

LCM(834,287,177) = ( 834 × 287 × 177 ) / 3

LCM(834,287,177) = 42366366 / 3

LCM(834,287,177) = 14122122


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 772/834, 394/287, 475/177

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 772/834, 394/287, 475/177?

Answer: GCF of Numerators as per given numbers 772/834, 394/287, 475/177 is

GCF of Numerators i.e. for 772,394,475 is 1

LCM of denominators i.e. for 834,287,177 is 14122122.

Thus, GCF of Fractions is 1/14122122.Finally, GCF of Fractions for 772/834, 394/287, 475/177 is 1/14122122.