Greatest Common Factor of 235/53, 272/40, 404/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/53, 272/40, 404/704

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 235/53,272/40,404/704

Given fractions are 235/53,272/40,404/704

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 235,272,404

Greatest Common Factor of Numerators i.e. GCF of 235,272,404 is 1 .

LCM of Denominators means LCM of 53,40,704 as per the given fractions.

LCM of 53,40,704 is 186560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,272,404

GCF of Fractions 235/53,272/40,404/704 is 1/186560

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

Greatest Common Factor of 235,272,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,272,404 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 235,272,404 . The biggest common factor number is the GCF number.
So the greatest common factor 235,272,404 is 1.

Lets's calculate LCM of 53,40,704

2 53, 40, 704
2 53, 20, 352
2 53, 10, 176
53, 5, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 5 x 88 = 186560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186560

Therefore, the GCF of Fractions 235/53,272/40,404/704 is 1/186560

Least Common Multiple of 53,40,704 with GCF Formula

Least Common Multiple of 53,40,704 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 53,40,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,40,704) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(53,40,704) x common factors =1 x 8 = 8

LCM(53,40,704) = ( 53 × 40 × 704 ) / 8

LCM(53,40,704) = 1492480 / 8

LCM(53,40,704) = 186560


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 235/53, 272/40, 404/704

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 235/53, 272/40, 404/704?

Answer: GCF of Numerators as per given numbers 235/53, 272/40, 404/704 is

GCF of Numerators i.e. for 235,272,404 is 1

LCM of denominators i.e. for 53,40,704 is 186560.

Thus, GCF of Fractions is 1/186560.Finally, GCF of Fractions for 235/53, 272/40, 404/704 is 1/186560.