Greatest Common Factor of 5342/432, 7914/8402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5342/432, 7914/8402

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 5342/432,7914/8402

Given fractions are 5342/432,7914/8402

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 5342,7914

Greatest Common Factor of Numerators i.e. GCF of 5342,7914 is 2 .

LCM of Denominators means LCM of 432,8402 as per the given fractions.

LCM of 432,8402 is 1814832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5342,7914

GCF of Fractions 5342/432,7914/8402 is 2/1814832

2 5342, 7914
2671, 3957

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

Greatest Common Factor of 5342,7914 By Matching Biggest Common Factor Method

Greatest Common Factor of 5342,7914 By Matching Biggest Common Factor Method

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1,2,3,6,1319,2638,3957,7914

Greatest Common Factor

We found the factors 5342,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,7914 is 2.

Lets's calculate LCM of 432,8402

2 432, 8402
216, 4201

∴ So the LCM of the given numbers is 2 x 216 x 4201 = 1814832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1814832

Therefore, the GCF of Fractions 5342/432,7914/8402 is 2/1814832

Least Common Multiple of 432,8402 with GCF Formula

Least Common Multiple of 432,8402 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 432,8402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,8402) = 2

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

GCF(432,8402) x common factors =2 x 1 = 2

LCM(432,8402) = ( 432 × 8402 ) / 2

LCM(432,8402) = 3629664 / 2

LCM(432,8402) = 1814832


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 5342/432, 7914/8402

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 5342/432, 7914/8402?

Answer: GCF of Numerators as per given numbers 5342/432, 7914/8402 is

GCF of Numerators i.e. for 5342,7914 is 2

LCM of denominators i.e. for 432,8402 is 1814832.

Thus, GCF of Fractions is 2/1814832.Finally, GCF of Fractions for 5342/432, 7914/8402 is 2/1814832.