Greatest Common Factor of 538/117, 343/170, 462/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/117, 343/170, 462/375

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 538/117,343/170,462/375

Given fractions are 538/117,343/170,462/375

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 538,343,462

Greatest Common Factor of Numerators i.e. GCF of 538,343,462 is 1 .

LCM of Denominators means LCM of 117,170,375 as per the given fractions.

LCM of 117,170,375 is 497250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,343,462

GCF of Fractions 538/117,343/170,462/375 is 1/497250

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

Greatest Common Factor of 538,343,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,343,462 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 538,343,462 . The biggest common factor number is the GCF number.
So the greatest common factor 538,343,462 is 1.

Lets's calculate LCM of 117,170,375

3 117, 170, 375
5 39, 170, 125
39, 34, 25

∴ So the LCM of the given numbers is 3 x 5 x 39 x 34 x 25 = 497250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497250

Therefore, the GCF of Fractions 538/117,343/170,462/375 is 1/497250

Least Common Multiple of 117,170,375 with GCF Formula

Least Common Multiple of 117,170,375 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 117,170,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,170,375) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(117,170,375) x common factors =1 x 15 = 15

LCM(117,170,375) = ( 117 × 170 × 375 ) / 15

LCM(117,170,375) = 7458750 / 15

LCM(117,170,375) = 497250


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 538/117, 343/170, 462/375

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 538/117, 343/170, 462/375?

Answer: GCF of Numerators as per given numbers 538/117, 343/170, 462/375 is

GCF of Numerators i.e. for 538,343,462 is 1

LCM of denominators i.e. for 117,170,375 is 497250.

Thus, GCF of Fractions is 1/497250.Finally, GCF of Fractions for 538/117, 343/170, 462/375 is 1/497250.