Greatest Common Factor of 1242/914, 6295/3899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1242/914, 6295/3899

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 1242/914,6295/3899

Given fractions are 1242/914,6295/3899

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 1242,6295

Greatest Common Factor of Numerators i.e. GCF of 1242,6295 is 1 .

LCM of Denominators means LCM of 914,3899 as per the given fractions.

LCM of 914,3899 is 3563686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1242,6295

GCF of Fractions 1242/914,6295/3899 is 1/3563686

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1242,6295 By Matching Biggest Common Factor Method

Greatest Common Factor of 1242,6295 By Matching Biggest Common Factor Method

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242

Factors of 6295

List of positive integer factors of 6295 that divides 6295 without a remainder.

1,5,1259,6295

Greatest Common Factor

We found the factors 1242,6295 . The biggest common factor number is the GCF number.
So the greatest common factor 1242,6295 is 1.


Lets's calculate LCM of 914,3899

Given numbers has no common factors except 1. So, there LCM is their product i.e 3563686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3563686

Therefore, the GCF of Fractions 1242/914,6295/3899 is 1/3563686

Least Common Multiple of 914,3899 with GCF Formula

Least Common Multiple of 914,3899 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 914,3899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,3899) = 1

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

GCF(914,3899) x common factors =1 x 1 = 1

LCM(914,3899) = ( 914 × 3899 ) / 1

LCM(914,3899) = 3563686 / 1

LCM(914,3899) = 3563686


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 1242/914, 6295/3899

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 1242/914, 6295/3899?

Answer: GCF of Numerators as per given numbers 1242/914, 6295/3899 is

GCF of Numerators i.e. for 1242,6295 is 1

LCM of denominators i.e. for 914,3899 is 3563686.

Thus, GCF of Fractions is 1/3563686.Finally, GCF of Fractions for 1242/914, 6295/3899 is 1/3563686.