Greatest Common Factor of 80/575, 570/112, 185/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/575, 570/112, 185/538

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 80/575,570/112,185/538

Given fractions are 80/575,570/112,185/538

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 80,570,185

Greatest Common Factor of Numerators i.e. GCF of 80,570,185 is 5 .

LCM of Denominators means LCM of 575,112,538 as per the given fractions.

LCM of 575,112,538 is 17323600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,570,185

GCF of Fractions 80/575,570/112,185/538 is 5/17323600

5 80, 570, 185
16, 114, 37

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 80,570,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,570,185 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 80,570,185 . The biggest common factor number is the GCF number.
So the greatest common factor 80,570,185 is 5.

Lets's calculate LCM of 575,112,538

2 575, 112, 538
575, 56, 269

∴ So the LCM of the given numbers is 2 x 575 x 56 x 269 = 17323600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17323600

Therefore, the GCF of Fractions 80/575,570/112,185/538 is 5/17323600

Least Common Multiple of 575,112,538 with GCF Formula

Least Common Multiple of 575,112,538 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 575,112,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,112,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(575,112,538) x common factors =1 x 2 = 2

LCM(575,112,538) = ( 575 × 112 × 538 ) / 2

LCM(575,112,538) = 34647200 / 2

LCM(575,112,538) = 17323600


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 80/575, 570/112, 185/538

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 80/575, 570/112, 185/538?

Answer: GCF of Numerators as per given numbers 80/575, 570/112, 185/538 is

GCF of Numerators i.e. for 80,570,185 is 5

LCM of denominators i.e. for 575,112,538 is 17323600.

Thus, GCF of Fractions is 5/17323600.Finally, GCF of Fractions for 80/575, 570/112, 185/538 is 5/17323600.