Greatest Common Factor of 52/54, 50/93, 514/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/54, 50/93, 514/178

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 52/54,50/93,514/178

Given fractions are 52/54,50/93,514/178

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 52,50,514

Greatest Common Factor of Numerators i.e. GCF of 52,50,514 is 2 .

LCM of Denominators means LCM of 54,93,178 as per the given fractions.

LCM of 54,93,178 is 148986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,50,514

GCF of Fractions 52/54,50/93,514/178 is 2/148986

2 52, 50, 514
26, 25, 257

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 52,50,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,50,514 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 52,50,514 . The biggest common factor number is the GCF number.
So the greatest common factor 52,50,514 is 2.

Lets's calculate LCM of 54,93,178

2 54, 93, 178
3 27, 93, 89
9, 31, 89

∴ So the LCM of the given numbers is 2 x 3 x 9 x 31 x 89 = 148986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148986

Therefore, the GCF of Fractions 52/54,50/93,514/178 is 2/148986

Least Common Multiple of 54,93,178 with GCF Formula

Least Common Multiple of 54,93,178 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 54,93,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,93,178) = 1

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

GCF(54,93,178) x common factors =1 x 6 = 6

LCM(54,93,178) = ( 54 × 93 × 178 ) / 6

LCM(54,93,178) = 893916 / 6

LCM(54,93,178) = 148986


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 52/54, 50/93, 514/178

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 52/54, 50/93, 514/178?

Answer: GCF of Numerators as per given numbers 52/54, 50/93, 514/178 is

GCF of Numerators i.e. for 52,50,514 is 2

LCM of denominators i.e. for 54,93,178 is 148986.

Thus, GCF of Fractions is 2/148986.Finally, GCF of Fractions for 52/54, 50/93, 514/178 is 2/148986.