Greatest Common Factor of 38/45, 219/68, 983/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/45, 219/68, 983/263

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 38/45,219/68,983/263

Given fractions are 38/45,219/68,983/263

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 38,219,983

Greatest Common Factor of Numerators i.e. GCF of 38,219,983 is 1 .

LCM of Denominators means LCM of 45,68,263 as per the given fractions.

LCM of 45,68,263 is 804780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,219,983

GCF of Fractions 38/45,219/68,983/263 is 1/804780

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

Greatest Common Factor of 38,219,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,219,983 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 38,219,983 . The biggest common factor number is the GCF number.
So the greatest common factor 38,219,983 is 1.

Lets's calculate LCM of 45,68,263

Given numbers has no common factors except 1. So, there LCM is their product i.e 804780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804780

Therefore, the GCF of Fractions 38/45,219/68,983/263 is 1/804780

Least Common Multiple of 45,68,263 with GCF Formula

Least Common Multiple of 45,68,263 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 45,68,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,68,263) = 1

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

GCF(45,68,263) x common factors =1 x 1 = 1

LCM(45,68,263) = ( 45 × 68 × 263 ) / 1

LCM(45,68,263) = 804780 / 1

LCM(45,68,263) = 804780


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 38/45, 219/68, 983/263

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 38/45, 219/68, 983/263?

Answer: GCF of Numerators as per given numbers 38/45, 219/68, 983/263 is

GCF of Numerators i.e. for 38,219,983 is 1

LCM of denominators i.e. for 45,68,263 is 804780.

Thus, GCF of Fractions is 1/804780.Finally, GCF of Fractions for 38/45, 219/68, 983/263 is 1/804780.