Greatest Common Factor of 243/74, 303/12, 141/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/74, 303/12, 141/35

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 243/74,303/12,141/35

Given fractions are 243/74,303/12,141/35

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 243,303,141

Greatest Common Factor of Numerators i.e. GCF of 243,303,141 is 3 .

LCM of Denominators means LCM of 74,12,35 as per the given fractions.

LCM of 74,12,35 is 15540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,303,141

GCF of Fractions 243/74,303/12,141/35 is 3/15540

3 243, 303, 141
81, 101, 47

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 243,303,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,303,141 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 243,303,141 . The biggest common factor number is the GCF number.
So the greatest common factor 243,303,141 is 3.

Lets's calculate LCM of 74,12,35

2 74, 12, 35
37, 6, 35

∴ So the LCM of the given numbers is 2 x 37 x 6 x 35 = 15540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15540

Therefore, the GCF of Fractions 243/74,303/12,141/35 is 3/15540

Least Common Multiple of 74,12,35 with GCF Formula

Least Common Multiple of 74,12,35 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 74,12,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,12,35) = 1

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

GCF(74,12,35) x common factors =1 x 2 = 2

LCM(74,12,35) = ( 74 × 12 × 35 ) / 2

LCM(74,12,35) = 31080 / 2

LCM(74,12,35) = 15540


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 243/74, 303/12, 141/35

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 243/74, 303/12, 141/35?

Answer: GCF of Numerators as per given numbers 243/74, 303/12, 141/35 is

GCF of Numerators i.e. for 243,303,141 is 3

LCM of denominators i.e. for 74,12,35 is 15540.

Thus, GCF of Fractions is 3/15540.Finally, GCF of Fractions for 243/74, 303/12, 141/35 is 3/15540.