Greatest Common Factor of 93/41, 45/86, 126/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 93/41, 45/86, 126/284

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 93/41,45/86,126/284

Given fractions are 93/41,45/86,126/284

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 93,45,126

Greatest Common Factor of Numerators i.e. GCF of 93,45,126 is 3 .

LCM of Denominators means LCM of 41,86,284 as per the given fractions.

LCM of 41,86,284 is 500692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 93,45,126

GCF of Fractions 93/41,45/86,126/284 is 3/500692

3 93, 45, 126
31, 15, 42

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

Greatest Common Factor of 93,45,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,45,126 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 93,45,126 . The biggest common factor number is the GCF number.
So the greatest common factor 93,45,126 is 3.

Lets's calculate LCM of 41,86,284

2 41, 86, 284
41, 43, 142

∴ So the LCM of the given numbers is 2 x 41 x 43 x 142 = 500692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/500692

Therefore, the GCF of Fractions 93/41,45/86,126/284 is 3/500692

Least Common Multiple of 41,86,284 with GCF Formula

Least Common Multiple of 41,86,284 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 41,86,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,86,284) = 1

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

GCF(41,86,284) x common factors =1 x 2 = 2

LCM(41,86,284) = ( 41 × 86 × 284 ) / 2

LCM(41,86,284) = 1001384 / 2

LCM(41,86,284) = 500692


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 93/41, 45/86, 126/284

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 93/41, 45/86, 126/284?

Answer: GCF of Numerators as per given numbers 93/41, 45/86, 126/284 is

GCF of Numerators i.e. for 93,45,126 is 3

LCM of denominators i.e. for 41,86,284 is 500692.

Thus, GCF of Fractions is 3/500692.Finally, GCF of Fractions for 93/41, 45/86, 126/284 is 3/500692.