Greatest Common Factor of 39/714, 7774/2480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 39/714, 7774/2480

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 39/714,7774/2480

Given fractions are 39/714,7774/2480

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 39,7774

Greatest Common Factor of Numerators i.e. GCF of 39,7774 is 13 .

LCM of Denominators means LCM of 714,2480 as per the given fractions.

LCM of 714,2480 is 885360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,7774

GCF of Fractions 39/714,7774/2480 is 13/885360

13 39, 7774
3, 598

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 39,7774 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,7774 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 7774

List of positive integer factors of 7774 that divides 7774 without a remainder.

1,2,13,23,26,46,169,299,338,598,3887,7774

Greatest Common Factor

We found the factors 39,7774 . The biggest common factor number is the GCF number.
So the greatest common factor 39,7774 is 13.


Lets's calculate LCM of 714,2480

2 714, 2480
357, 1240

∴ So the LCM of the given numbers is 2 x 357 x 1240 = 885360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/885360

Therefore, the GCF of Fractions 39/714,7774/2480 is 13/885360

Least Common Multiple of 714,2480 with GCF Formula

Least Common Multiple of 714,2480 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 714,2480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,2480) = 2

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

GCF(714,2480) x common factors =2 x 1 = 2

LCM(714,2480) = ( 714 × 2480 ) / 2

LCM(714,2480) = 1770720 / 2

LCM(714,2480) = 885360


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 39/714, 7774/2480

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 39/714, 7774/2480?

Answer: GCF of Numerators as per given numbers 39/714, 7774/2480 is

GCF of Numerators i.e. for 39,7774 is 13

LCM of denominators i.e. for 714,2480 is 885360.

Thus, GCF of Fractions is 13/885360.Finally, GCF of Fractions for 39/714, 7774/2480 is 13/885360.