Greatest Common Factor of 1320/29, 7778/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1320/29, 7778/389

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 1320/29,7778/389

Given fractions are 1320/29,7778/389

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 1320,7778

Greatest Common Factor of Numerators i.e. GCF of 1320,7778 is 2 .

LCM of Denominators means LCM of 29,389 as per the given fractions.

LCM of 29,389 is 11281 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1320,7778

GCF of Fractions 1320/29,7778/389 is 2/11281

2 1320, 7778
660, 3889

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

Greatest Common Factor of 1320,7778 By Matching Biggest Common Factor Method

Greatest Common Factor of 1320,7778 By Matching Biggest Common Factor Method

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Factors of 7778

List of positive integer factors of 7778 that divides 7778 without a remainder.

1,2,3889,7778

Greatest Common Factor

We found the factors 1320,7778 . The biggest common factor number is the GCF number.
So the greatest common factor 1320,7778 is 2.

Lets's calculate LCM of 29,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 11281

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11281

Therefore, the GCF of Fractions 1320/29,7778/389 is 2/11281

Least Common Multiple of 29,389 with GCF Formula

Least Common Multiple of 29,389 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 29,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,389) = 1

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

GCF(29,389) x common factors =1 x 1 = 1

LCM(29,389) = ( 29 × 389 ) / 1

LCM(29,389) = 11281 / 1

LCM(29,389) = 11281


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 1320/29, 7778/389

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 1320/29, 7778/389?

Answer: GCF of Numerators as per given numbers 1320/29, 7778/389 is

GCF of Numerators i.e. for 1320,7778 is 2

LCM of denominators i.e. for 29,389 is 11281.

Thus, GCF of Fractions is 2/11281.Finally, GCF of Fractions for 1320/29, 7778/389 is 2/11281.