Greatest Common Factor of 394/53, 5775/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/53, 5775/602

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 394/53,5775/602

Given fractions are 394/53,5775/602

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 394,5775

Greatest Common Factor of Numerators i.e. GCF of 394,5775 is 1 .

LCM of Denominators means LCM of 53,602 as per the given fractions.

LCM of 53,602 is 31906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,5775

GCF of Fractions 394/53,5775/602 is 1/31906

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

Greatest Common Factor of 394,5775 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,5775 By Matching Biggest Common Factor Method

Factors of 394

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

1,2,197,394

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Greatest Common Factor

We found the factors 394,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 394,5775 is 1.

Lets's calculate LCM of 53,602

Given numbers has no common factors except 1. So, there LCM is their product i.e 31906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31906

Therefore, the GCF of Fractions 394/53,5775/602 is 1/31906

Least Common Multiple of 53,602 with GCF Formula

Least Common Multiple of 53,602 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 53,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,602) = 1

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

GCF(53,602) x common factors =1 x 1 = 1

LCM(53,602) = ( 53 × 602 ) / 1

LCM(53,602) = 31906 / 1

LCM(53,602) = 31906


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 394/53, 5775/602

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 394/53, 5775/602?

Answer: GCF of Numerators as per given numbers 394/53, 5775/602 is

GCF of Numerators i.e. for 394,5775 is 1

LCM of denominators i.e. for 53,602 is 31906.

Thus, GCF of Fractions is 1/31906.Finally, GCF of Fractions for 394/53, 5775/602 is 1/31906.