Greatest Common Factor of 202/14, 786/2864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/14, 786/2864

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 202/14,786/2864

Given fractions are 202/14,786/2864

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 202,786

Greatest Common Factor of Numerators i.e. GCF of 202,786 is 2 .

LCM of Denominators means LCM of 14,2864 as per the given fractions.

LCM of 14,2864 is 20048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,786

GCF of Fractions 202/14,786/2864 is 2/20048

2 202, 786
101, 393

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

Greatest Common Factor of 202,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,786 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 202,786 . The biggest common factor number is the GCF number.
So the greatest common factor 202,786 is 2.

Lets's calculate LCM of 14,2864

2 14, 2864
7, 1432

∴ So the LCM of the given numbers is 2 x 7 x 1432 = 20048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20048

Therefore, the GCF of Fractions 202/14,786/2864 is 2/20048

Least Common Multiple of 14,2864 with GCF Formula

Least Common Multiple of 14,2864 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 14,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,2864) = 2

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

GCF(14,2864) x common factors =2 x 1 = 2

LCM(14,2864) = ( 14 × 2864 ) / 2

LCM(14,2864) = 40096 / 2

LCM(14,2864) = 20048


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 202/14, 786/2864

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 202/14, 786/2864?

Answer: GCF of Numerators as per given numbers 202/14, 786/2864 is

GCF of Numerators i.e. for 202,786 is 2

LCM of denominators i.e. for 14,2864 is 20048.

Thus, GCF of Fractions is 2/20048.Finally, GCF of Fractions for 202/14, 786/2864 is 2/20048.