Greatest Common Factor of 1287/86, 3123/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1287/86, 3123/629

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 1287/86,3123/629

Given fractions are 1287/86,3123/629

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 1287,3123

Greatest Common Factor of Numerators i.e. GCF of 1287,3123 is 9 .

LCM of Denominators means LCM of 86,629 as per the given fractions.

LCM of 86,629 is 54094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1287,3123

GCF of Fractions 1287/86,3123/629 is 9/54094

3 1287, 3123
3 429, 1041
143, 347

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 1287,3123 By Matching Biggest Common Factor Method

Greatest Common Factor of 1287,3123 By Matching Biggest Common Factor Method

Factors of 1287

List of positive integer factors of 1287 that divides 1287 without a remainder.

1,3,9,11,13,33,39,99,117,143,429,1287

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1,3,9,347,1041,3123

Greatest Common Factor

We found the factors 1287,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 1287,3123 is 9.

Lets's calculate LCM of 86,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 54094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/54094

Therefore, the GCF of Fractions 1287/86,3123/629 is 9/54094

Least Common Multiple of 86,629 with GCF Formula

Least Common Multiple of 86,629 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 86,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,629) = 1

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

GCF(86,629) x common factors =1 x 1 = 1

LCM(86,629) = ( 86 × 629 ) / 1

LCM(86,629) = 54094 / 1

LCM(86,629) = 54094


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 1287/86, 3123/629

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 1287/86, 3123/629?

Answer: GCF of Numerators as per given numbers 1287/86, 3123/629 is

GCF of Numerators i.e. for 1287,3123 is 9

LCM of denominators i.e. for 86,629 is 54094.

Thus, GCF of Fractions is 9/54094.Finally, GCF of Fractions for 1287/86, 3123/629 is 9/54094.