Greatest Common Factor of 2550/988, 2031/1827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2550/988, 2031/1827

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 2550/988,2031/1827

Given fractions are 2550/988,2031/1827

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 2550,2031

Greatest Common Factor of Numerators i.e. GCF of 2550,2031 is 3 .

LCM of Denominators means LCM of 988,1827 as per the given fractions.

LCM of 988,1827 is 1805076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2550,2031

GCF of Fractions 2550/988,2031/1827 is 3/1805076

3 2550, 2031
850, 677

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2550,2031 By Matching Biggest Common Factor Method

Greatest Common Factor of 2550,2031 By Matching Biggest Common Factor Method

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

Factors of 2031

List of positive integer factors of 2031 that divides 2031 without a remainder.

1,3,677,2031

Greatest Common Factor

We found the factors 2550,2031 . The biggest common factor number is the GCF number.
So the greatest common factor 2550,2031 is 3.

Lets's calculate LCM of 988,1827

Given numbers has no common factors except 1. So, there LCM is their product i.e 1805076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1805076

Therefore, the GCF of Fractions 2550/988,2031/1827 is 3/1805076

Least Common Multiple of 988,1827 with GCF Formula

Least Common Multiple of 988,1827 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 988,1827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,1827) = 1

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

GCF(988,1827) x common factors =1 x 1 = 1

LCM(988,1827) = ( 988 × 1827 ) / 1

LCM(988,1827) = 1805076 / 1

LCM(988,1827) = 1805076


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 2550/988, 2031/1827

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 2550/988, 2031/1827?

Answer: GCF of Numerators as per given numbers 2550/988, 2031/1827 is

GCF of Numerators i.e. for 2550,2031 is 3

LCM of denominators i.e. for 988,1827 is 1805076.

Thus, GCF of Fractions is 3/1805076.Finally, GCF of Fractions for 2550/988, 2031/1827 is 3/1805076.