Greatest Common Factor of 315/94, 310/34, 242/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 315/94, 310/34, 242/45

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 315/94,310/34,242/45

Given fractions are 315/94,310/34,242/45

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 315,310,242

Greatest Common Factor of Numerators i.e. GCF of 315,310,242 is 1 .

LCM of Denominators means LCM of 94,34,45 as per the given fractions.

LCM of 94,34,45 is 71910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 315,310,242

GCF of Fractions 315/94,310/34,242/45 is 1/71910

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

Greatest Common Factor of 315,310,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,310,242 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 315,310,242 . The biggest common factor number is the GCF number.
So the greatest common factor 315,310,242 is 1.

Lets's calculate LCM of 94,34,45

2 94, 34, 45
47, 17, 45

∴ So the LCM of the given numbers is 2 x 47 x 17 x 45 = 71910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71910

Therefore, the GCF of Fractions 315/94,310/34,242/45 is 1/71910

Least Common Multiple of 94,34,45 with GCF Formula

Least Common Multiple of 94,34,45 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 94,34,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,34,45) = 1

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

GCF(94,34,45) x common factors =1 x 2 = 2

LCM(94,34,45) = ( 94 × 34 × 45 ) / 2

LCM(94,34,45) = 143820 / 2

LCM(94,34,45) = 71910


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 315/94, 310/34, 242/45

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 315/94, 310/34, 242/45?

Answer: GCF of Numerators as per given numbers 315/94, 310/34, 242/45 is

GCF of Numerators i.e. for 315,310,242 is 1

LCM of denominators i.e. for 94,34,45 is 71910.

Thus, GCF of Fractions is 1/71910.Finally, GCF of Fractions for 315/94, 310/34, 242/45 is 1/71910.