Greatest Common Factor of 6/84, 42/13, 54/962, 210/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/84, 42/13, 54/962, 210/526

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 6/84,42/13,54/962,210/526

Given fractions are 6/84,42/13,54/962,210/526

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 6,42,54,210

Greatest Common Factor of Numerators i.e. GCF of 6,42,54,210 is 6 .

LCM of Denominators means LCM of 84,13,962,526 as per the given fractions.

LCM of 84,13,962,526 is 10626252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,42,54,210

GCF of Fractions 6/84,42/13,54/962,210/526 is 6/10626252

2 6, 42, 54, 210
3 3, 21, 27, 105
1, 7, 9, 35

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6,42,54,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,42,54,210 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 6,42,54,210 . The biggest common factor number is the GCF number.
So the greatest common factor 6,42,54,210 is 6.

Lets's calculate LCM of 84,13,962,526

2 84, 13, 962, 526
13 42, 13, 481, 263
42, 1, 37, 263

∴ So the LCM of the given numbers is 2 x 13 x 42 x 1 x 37 x 263 = 10626252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10626252

Therefore, the GCF of Fractions 6/84,42/13,54/962,210/526 is 6/10626252

Least Common Multiple of 84,13,962,526 with GCF Formula

Least Common Multiple of 84,13,962,526 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 84,13,962,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,13,962,526) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(84,13,962,526) x common factors =1 x 52 = 52

LCM(84,13,962,526) = ( 84 × 13 × 962 × 526 ) / 52

LCM(84,13,962,526) = 552565104 / 52

LCM(84,13,962,526) = 10626252


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 6/84, 42/13, 54/962, 210/526

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 6/84, 42/13, 54/962, 210/526?

Answer: GCF of Numerators as per given numbers 6/84, 42/13, 54/962, 210/526 is

GCF of Numerators i.e. for 6,42,54,210 is 6

LCM of denominators i.e. for 84,13,962,526 is 10626252.

Thus, GCF of Fractions is 6/10626252.Finally, GCF of Fractions for 6/84, 42/13, 54/962, 210/526 is 6/10626252.