Greatest Common Factor of 543/27, 148/60, 366/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/27, 148/60, 366/314

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 543/27,148/60,366/314

Given fractions are 543/27,148/60,366/314

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 543,148,366

Greatest Common Factor of Numerators i.e. GCF of 543,148,366 is 1 .

LCM of Denominators means LCM of 27,60,314 as per the given fractions.

LCM of 27,60,314 is 84780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,148,366

GCF of Fractions 543/27,148/60,366/314 is 1/84780

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

Greatest Common Factor of 543,148,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,148,366 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 543,148,366 . The biggest common factor number is the GCF number.
So the greatest common factor 543,148,366 is 1.

Lets's calculate LCM of 27,60,314

2 27, 60, 314
3 27, 30, 157
9, 10, 157

∴ So the LCM of the given numbers is 2 x 3 x 9 x 10 x 157 = 84780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84780

Therefore, the GCF of Fractions 543/27,148/60,366/314 is 1/84780

Least Common Multiple of 27,60,314 with GCF Formula

Least Common Multiple of 27,60,314 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 27,60,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,60,314) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,60,314) x common factors =1 x 6 = 6

LCM(27,60,314) = ( 27 × 60 × 314 ) / 6

LCM(27,60,314) = 508680 / 6

LCM(27,60,314) = 84780


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 543/27, 148/60, 366/314

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 543/27, 148/60, 366/314?

Answer: GCF of Numerators as per given numbers 543/27, 148/60, 366/314 is

GCF of Numerators i.e. for 543,148,366 is 1

LCM of denominators i.e. for 27,60,314 is 84780.

Thus, GCF of Fractions is 1/84780.Finally, GCF of Fractions for 543/27, 148/60, 366/314 is 1/84780.