Greatest Common Factor of 1302/299, 2550/5976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1302/299, 2550/5976

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 1302/299,2550/5976

Given fractions are 1302/299,2550/5976

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 1302,2550

Greatest Common Factor of Numerators i.e. GCF of 1302,2550 is 6 .

LCM of Denominators means LCM of 299,5976 as per the given fractions.

LCM of 299,5976 is 1786824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1302,2550

GCF of Fractions 1302/299,2550/5976 is 6/1786824

2 1302, 2550
3 651, 1275
217, 425

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

Greatest Common Factor of 1302,2550 By Matching Biggest Common Factor Method

Greatest Common Factor of 1302,2550 By Matching Biggest Common Factor Method

Factors of 1302

List of positive integer factors of 1302 that divides 1302 without a remainder.

1,2,3,6,7,14,21,31,42,62,93,186,217,434,651,1302

Factors of 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors 1302,2550 . The biggest common factor number is the GCF number.
So the greatest common factor 1302,2550 is 6.

Lets's calculate LCM of 299,5976

Given numbers has no common factors except 1. So, there LCM is their product i.e 1786824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1786824

Therefore, the GCF of Fractions 1302/299,2550/5976 is 6/1786824

Least Common Multiple of 299,5976 with GCF Formula

Least Common Multiple of 299,5976 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 299,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,5976) = 1

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

GCF(299,5976) x common factors =1 x 1 = 1

LCM(299,5976) = ( 299 × 5976 ) / 1

LCM(299,5976) = 1786824 / 1

LCM(299,5976) = 1786824


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 1302/299, 2550/5976

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 1302/299, 2550/5976?

Answer: GCF of Numerators as per given numbers 1302/299, 2550/5976 is

GCF of Numerators i.e. for 1302,2550 is 6

LCM of denominators i.e. for 299,5976 is 1786824.

Thus, GCF of Fractions is 6/1786824.Finally, GCF of Fractions for 1302/299, 2550/5976 is 6/1786824.