Greatest Common Factor of 1586/50, 1483/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1586/50, 1483/311

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 1586/50,1483/311

Given fractions are 1586/50,1483/311

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 1586,1483

Greatest Common Factor of Numerators i.e. GCF of 1586,1483 is 1 .

LCM of Denominators means LCM of 50,311 as per the given fractions.

LCM of 50,311 is 15550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1586,1483

GCF of Fractions 1586/50,1483/311 is 1/15550

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

Greatest Common Factor of 1586,1483 By Matching Biggest Common Factor Method

Greatest Common Factor of 1586,1483 By Matching Biggest Common Factor Method

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1,2,13,26,61,122,793,1586

Factors of 1483

List of positive integer factors of 1483 that divides 1483 without a remainder.

1,1483

Greatest Common Factor

We found the factors 1586,1483 . The biggest common factor number is the GCF number.
So the greatest common factor 1586,1483 is 1.

Lets's calculate LCM of 50,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 15550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15550

Therefore, the GCF of Fractions 1586/50,1483/311 is 1/15550

Least Common Multiple of 50,311 with GCF Formula

Least Common Multiple of 50,311 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 50,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,311) = 1

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

GCF(50,311) x common factors =1 x 1 = 1

LCM(50,311) = ( 50 × 311 ) / 1

LCM(50,311) = 15550 / 1

LCM(50,311) = 15550


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 1586/50, 1483/311

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 1586/50, 1483/311?

Answer: GCF of Numerators as per given numbers 1586/50, 1483/311 is

GCF of Numerators i.e. for 1586,1483 is 1

LCM of denominators i.e. for 50,311 is 15550.

Thus, GCF of Fractions is 1/15550.Finally, GCF of Fractions for 1586/50, 1483/311 is 1/15550.