Greatest Common Factor of 575/118, 402/986, 405/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 575/118, 402/986, 405/109

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 575/118,402/986,405/109

Given fractions are 575/118,402/986,405/109

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 575,402,405

Greatest Common Factor of Numerators i.e. GCF of 575,402,405 is 1 .

LCM of Denominators means LCM of 118,986,109 as per the given fractions.

LCM of 118,986,109 is 6340966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 575,402,405

GCF of Fractions 575/118,402/986,405/109 is 1/6340966

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

Greatest Common Factor of 575,402,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,402,405 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 575,402,405 . The biggest common factor number is the GCF number.
So the greatest common factor 575,402,405 is 1.

Lets's calculate LCM of 118,986,109

2 118, 986, 109
59, 493, 109

∴ So the LCM of the given numbers is 2 x 59 x 493 x 109 = 6340966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6340966

Therefore, the GCF of Fractions 575/118,402/986,405/109 is 1/6340966

Least Common Multiple of 118,986,109 with GCF Formula

Least Common Multiple of 118,986,109 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 118,986,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,986,109) = 1

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

GCF(118,986,109) x common factors =1 x 2 = 2

LCM(118,986,109) = ( 118 × 986 × 109 ) / 2

LCM(118,986,109) = 12681932 / 2

LCM(118,986,109) = 6340966


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 575/118, 402/986, 405/109

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 575/118, 402/986, 405/109?

Answer: GCF of Numerators as per given numbers 575/118, 402/986, 405/109 is

GCF of Numerators i.e. for 575,402,405 is 1

LCM of denominators i.e. for 118,986,109 is 6340966.

Thus, GCF of Fractions is 1/6340966.Finally, GCF of Fractions for 575/118, 402/986, 405/109 is 1/6340966.