Greatest Common Factor of 34/72, 373/34, 112/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/72, 373/34, 112/242

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 34/72,373/34,112/242

Given fractions are 34/72,373/34,112/242

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 34,373,112

Greatest Common Factor of Numerators i.e. GCF of 34,373,112 is 1 .

LCM of Denominators means LCM of 72,34,242 as per the given fractions.

LCM of 72,34,242 is 148104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,373,112

GCF of Fractions 34/72,373/34,112/242 is 1/148104

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

Greatest Common Factor of 34,373,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,373,112 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 34,373,112 . The biggest common factor number is the GCF number.
So the greatest common factor 34,373,112 is 1.

Lets's calculate LCM of 72,34,242

2 72, 34, 242
36, 17, 121

∴ So the LCM of the given numbers is 2 x 36 x 17 x 121 = 148104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148104

Therefore, the GCF of Fractions 34/72,373/34,112/242 is 1/148104

Least Common Multiple of 72,34,242 with GCF Formula

Least Common Multiple of 72,34,242 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 72,34,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,34,242) = 2

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

GCF(72,34,242) x common factors =2 x 2 = 4

LCM(72,34,242) = ( 72 × 34 × 242 ) / 4

LCM(72,34,242) = 592416 / 4

LCM(72,34,242) = 148104


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/72, 373/34, 112/242

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 34/72, 373/34, 112/242?

Answer: GCF of Numerators as per given numbers 34/72, 373/34, 112/242 is

GCF of Numerators i.e. for 34,373,112 is 1

LCM of denominators i.e. for 72,34,242 is 148104.

Thus, GCF of Fractions is 1/148104.Finally, GCF of Fractions for 34/72, 373/34, 112/242 is 1/148104.