Greatest Common Factor of 1802/188, 8936/5714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1802/188, 8936/5714

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 1802/188,8936/5714

Given fractions are 1802/188,8936/5714

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 1802,8936

Greatest Common Factor of Numerators i.e. GCF of 1802,8936 is 2 .

LCM of Denominators means LCM of 188,5714 as per the given fractions.

LCM of 188,5714 is 537116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1802,8936

GCF of Fractions 1802/188,8936/5714 is 2/537116

2 1802, 8936
901, 4468

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

Greatest Common Factor of 1802,8936 By Matching Biggest Common Factor Method

Greatest Common Factor of 1802,8936 By Matching Biggest Common Factor Method

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1,2,17,34,53,106,901,1802

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Greatest Common Factor

We found the factors 1802,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 1802,8936 is 2.

Lets's calculate LCM of 188,5714

2 188, 5714
94, 2857

∴ So the LCM of the given numbers is 2 x 94 x 2857 = 537116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/537116

Therefore, the GCF of Fractions 1802/188,8936/5714 is 2/537116

Least Common Multiple of 188,5714 with GCF Formula

Least Common Multiple of 188,5714 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 188,5714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,5714) = 2

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

GCF(188,5714) x common factors =2 x 1 = 2

LCM(188,5714) = ( 188 × 5714 ) / 2

LCM(188,5714) = 1074232 / 2

LCM(188,5714) = 537116


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 1802/188, 8936/5714

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 1802/188, 8936/5714?

Answer: GCF of Numerators as per given numbers 1802/188, 8936/5714 is

GCF of Numerators i.e. for 1802,8936 is 2

LCM of denominators i.e. for 188,5714 is 537116.

Thus, GCF of Fractions is 2/537116.Finally, GCF of Fractions for 1802/188, 8936/5714 is 2/537116.