Greatest Common Factor of 8286/53, 1786/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8286/53, 1786/940

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 8286/53,1786/940

Given fractions are 8286/53,1786/940

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 8286,1786

Greatest Common Factor of Numerators i.e. GCF of 8286,1786 is 2 .

LCM of Denominators means LCM of 53,940 as per the given fractions.

LCM of 53,940 is 49820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8286,1786

GCF of Fractions 8286/53,1786/940 is 2/49820

2 8286, 1786
4143, 893

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

Greatest Common Factor of 8286,1786 By Matching Biggest Common Factor Method

Greatest Common Factor of 8286,1786 By Matching Biggest Common Factor Method

Factors of 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1,2,3,6,1381,2762,4143,8286

Factors of 1786

List of positive integer factors of 1786 that divides 1786 without a remainder.

1,2,19,38,47,94,893,1786

Greatest Common Factor

We found the factors 8286,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 8286,1786 is 2.

Lets's calculate LCM of 53,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 49820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49820

Therefore, the GCF of Fractions 8286/53,1786/940 is 2/49820

Least Common Multiple of 53,940 with GCF Formula

Least Common Multiple of 53,940 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 53,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,940) = 1

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

GCF(53,940) x common factors =1 x 1 = 1

LCM(53,940) = ( 53 × 940 ) / 1

LCM(53,940) = 49820 / 1

LCM(53,940) = 49820


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 8286/53, 1786/940

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 8286/53, 1786/940?

Answer: GCF of Numerators as per given numbers 8286/53, 1786/940 is

GCF of Numerators i.e. for 8286,1786 is 2

LCM of denominators i.e. for 53,940 is 49820.

Thus, GCF of Fractions is 2/49820.Finally, GCF of Fractions for 8286/53, 1786/940 is 2/49820.