Greatest Common Factor of 336/53, 189/86, 987/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/53, 189/86, 987/126

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 336/53,189/86,987/126

Given fractions are 336/53,189/86,987/126

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 336,189,987

Greatest Common Factor of Numerators i.e. GCF of 336,189,987 is 21 .

LCM of Denominators means LCM of 53,86,126 as per the given fractions.

LCM of 53,86,126 is 287154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,189,987

GCF of Fractions 336/53,189/86,987/126 is 21/287154

3 336, 189, 987
7 112, 63, 329
16, 9, 47

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 336,189,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,189,987 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 336,189,987 . The biggest common factor number is the GCF number.
So the greatest common factor 336,189,987 is 21.

Lets's calculate LCM of 53,86,126

2 53, 86, 126
53, 43, 63

∴ So the LCM of the given numbers is 2 x 53 x 43 x 63 = 287154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/287154

Therefore, the GCF of Fractions 336/53,189/86,987/126 is 21/287154

Least Common Multiple of 53,86,126 with GCF Formula

Least Common Multiple of 53,86,126 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 53,86,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,86,126) = 1

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

GCF(53,86,126) x common factors =1 x 2 = 2

LCM(53,86,126) = ( 53 × 86 × 126 ) / 2

LCM(53,86,126) = 574308 / 2

LCM(53,86,126) = 287154


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 336/53, 189/86, 987/126

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 336/53, 189/86, 987/126?

Answer: GCF of Numerators as per given numbers 336/53, 189/86, 987/126 is

GCF of Numerators i.e. for 336,189,987 is 21

LCM of denominators i.e. for 53,86,126 is 287154.

Thus, GCF of Fractions is 21/287154.Finally, GCF of Fractions for 336/53, 189/86, 987/126 is 21/287154.