Greatest Common Factor of 381/803, 1156/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/803, 1156/983

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 381/803,1156/983

Given fractions are 381/803,1156/983

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 381,1156

Greatest Common Factor of Numerators i.e. GCF of 381,1156 is 1 .

LCM of Denominators means LCM of 803,983 as per the given fractions.

LCM of 803,983 is 789349 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,1156

GCF of Fractions 381/803,1156/983 is 1/789349

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

Greatest Common Factor of 381,1156 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,1156 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1,2,4,17,34,68,289,578,1156

Greatest Common Factor

We found the factors 381,1156 . The biggest common factor number is the GCF number.
So the greatest common factor 381,1156 is 1.

Lets's calculate LCM of 803,983

Given numbers has no common factors except 1. So, there LCM is their product i.e 789349

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789349

Therefore, the GCF of Fractions 381/803,1156/983 is 1/789349

Least Common Multiple of 803,983 with GCF Formula

Least Common Multiple of 803,983 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 803,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,983) = 1

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

GCF(803,983) x common factors =1 x 1 = 1

LCM(803,983) = ( 803 × 983 ) / 1

LCM(803,983) = 789349 / 1

LCM(803,983) = 789349


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 381/803, 1156/983

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 381/803, 1156/983?

Answer: GCF of Numerators as per given numbers 381/803, 1156/983 is

GCF of Numerators i.e. for 381,1156 is 1

LCM of denominators i.e. for 803,983 is 789349.

Thus, GCF of Fractions is 1/789349.Finally, GCF of Fractions for 381/803, 1156/983 is 1/789349.