Greatest Common Factor of 83/263, 4827/6928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/263, 4827/6928

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 83/263,4827/6928

Given fractions are 83/263,4827/6928

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 83,4827

Greatest Common Factor of Numerators i.e. GCF of 83,4827 is 1 .

LCM of Denominators means LCM of 263,6928 as per the given fractions.

LCM of 263,6928 is 1822064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,4827

GCF of Fractions 83/263,4827/6928 is 1/1822064

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

Greatest Common Factor of 83,4827 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,4827 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1,3,1609,4827

Greatest Common Factor

We found the factors 83,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 83,4827 is 1.

Lets's calculate LCM of 263,6928

Given numbers has no common factors except 1. So, there LCM is their product i.e 1822064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1822064

Therefore, the GCF of Fractions 83/263,4827/6928 is 1/1822064

Least Common Multiple of 263,6928 with GCF Formula

Least Common Multiple of 263,6928 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 263,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,6928) = 1

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

GCF(263,6928) x common factors =1 x 1 = 1

LCM(263,6928) = ( 263 × 6928 ) / 1

LCM(263,6928) = 1822064 / 1

LCM(263,6928) = 1822064


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 83/263, 4827/6928

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 83/263, 4827/6928?

Answer: GCF of Numerators as per given numbers 83/263, 4827/6928 is

GCF of Numerators i.e. for 83,4827 is 1

LCM of denominators i.e. for 263,6928 is 1822064.

Thus, GCF of Fractions is 1/1822064.Finally, GCF of Fractions for 83/263, 4827/6928 is 1/1822064.