Greatest Common Factor of 5010/356, 4206/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5010/356, 4206/324

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 5010/356,4206/324

Given fractions are 5010/356,4206/324

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 5010,4206

Greatest Common Factor of Numerators i.e. GCF of 5010,4206 is 6 .

LCM of Denominators means LCM of 356,324 as per the given fractions.

LCM of 356,324 is 28836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5010,4206

GCF of Fractions 5010/356,4206/324 is 6/28836

2 5010, 4206
3 2505, 2103
835, 701

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

Greatest Common Factor of 5010,4206 By Matching Biggest Common Factor Method

Greatest Common Factor of 5010,4206 By Matching Biggest Common Factor Method

Factors of 5010

List of positive integer factors of 5010 that divides 5010 without a remainder.

1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Greatest Common Factor

We found the factors 5010,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,4206 is 6.

Lets's calculate LCM of 356,324

2 356, 324
2 178, 162
89, 81

∴ So the LCM of the given numbers is 2 x 2 x 89 x 81 = 28836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/28836

Therefore, the GCF of Fractions 5010/356,4206/324 is 6/28836

Least Common Multiple of 356,324 with GCF Formula

Least Common Multiple of 356,324 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 356,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,324) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(356,324) x common factors =4 x 1 = 4

LCM(356,324) = ( 356 × 324 ) / 4

LCM(356,324) = 115344 / 4

LCM(356,324) = 28836


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 5010/356, 4206/324

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 5010/356, 4206/324?

Answer: GCF of Numerators as per given numbers 5010/356, 4206/324 is

GCF of Numerators i.e. for 5010,4206 is 6

LCM of denominators i.e. for 356,324 is 28836.

Thus, GCF of Fractions is 6/28836.Finally, GCF of Fractions for 5010/356, 4206/324 is 6/28836.