Greatest Common Factor of 3914/527, 4838/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3914/527, 4838/713

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 3914/527,4838/713

Given fractions are 3914/527,4838/713

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 3914,4838

Greatest Common Factor of Numerators i.e. GCF of 3914,4838 is 2 .

LCM of Denominators means LCM of 527,713 as per the given fractions.

LCM of 527,713 is 12121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3914,4838

GCF of Fractions 3914/527,4838/713 is 2/12121

2 3914, 4838
1957, 2419

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

Greatest Common Factor of 3914,4838 By Matching Biggest Common Factor Method

Greatest Common Factor of 3914,4838 By Matching Biggest Common Factor Method

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1,2,19,38,103,206,1957,3914

Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1,2,41,59,82,118,2419,4838

Greatest Common Factor

We found the factors 3914,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 3914,4838 is 2.

Lets's calculate LCM of 527,713

31 527, 713
17, 23

∴ So the LCM of the given numbers is 31 x 17 x 23 = 12121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12121

Therefore, the GCF of Fractions 3914/527,4838/713 is 2/12121

Least Common Multiple of 527,713 with GCF Formula

Least Common Multiple of 527,713 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 527,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,713) = 31

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

GCF(527,713) x common factors =31 x 1 = 31

LCM(527,713) = ( 527 × 713 ) / 31

LCM(527,713) = 375751 / 31

LCM(527,713) = 12121


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 3914/527, 4838/713

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 3914/527, 4838/713?

Answer: GCF of Numerators as per given numbers 3914/527, 4838/713 is

GCF of Numerators i.e. for 3914,4838 is 2

LCM of denominators i.e. for 527,713 is 12121.

Thus, GCF of Fractions is 2/12121.Finally, GCF of Fractions for 3914/527, 4838/713 is 2/12121.