Greatest Common Factor of 146/44, 243/68, 183/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 146/44, 243/68, 183/101

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 146/44,243/68,183/101

Given fractions are 146/44,243/68,183/101

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 146,243,183

Greatest Common Factor of Numerators i.e. GCF of 146,243,183 is 1 .

LCM of Denominators means LCM of 44,68,101 as per the given fractions.

LCM of 44,68,101 is 75548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 146,243,183

GCF of Fractions 146/44,243/68,183/101 is 1/75548

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

Greatest Common Factor of 146,243,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,243,183 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 243

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

1,3,9,27,81,243

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 146,243,183 . The biggest common factor number is the GCF number.
So the greatest common factor 146,243,183 is 1.

Lets's calculate LCM of 44,68,101

2 44, 68, 101
2 22, 34, 101
11, 17, 101

∴ So the LCM of the given numbers is 2 x 2 x 11 x 17 x 101 = 75548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75548

Therefore, the GCF of Fractions 146/44,243/68,183/101 is 1/75548

Least Common Multiple of 44,68,101 with GCF Formula

Least Common Multiple of 44,68,101 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 44,68,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,68,101) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,68,101) x common factors =1 x 4 = 4

LCM(44,68,101) = ( 44 × 68 × 101 ) / 4

LCM(44,68,101) = 302192 / 4

LCM(44,68,101) = 75548


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 146/44, 243/68, 183/101

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 146/44, 243/68, 183/101?

Answer: GCF of Numerators as per given numbers 146/44, 243/68, 183/101 is

GCF of Numerators i.e. for 146,243,183 is 1

LCM of denominators i.e. for 44,68,101 is 75548.

Thus, GCF of Fractions is 1/75548.Finally, GCF of Fractions for 146/44, 243/68, 183/101 is 1/75548.