Greatest Common Factor of 8230/483, 1696/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8230/483, 1696/534

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 8230/483,1696/534

Given fractions are 8230/483,1696/534

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 8230,1696

Greatest Common Factor of Numerators i.e. GCF of 8230,1696 is 2 .

LCM of Denominators means LCM of 483,534 as per the given fractions.

LCM of 483,534 is 85974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8230,1696

GCF of Fractions 8230/483,1696/534 is 2/85974

2 8230, 1696
4115, 848

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

Greatest Common Factor of 8230,1696 By Matching Biggest Common Factor Method

Greatest Common Factor of 8230,1696 By Matching Biggest Common Factor Method

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1,2,5,10,823,1646,4115,8230

Factors of 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1,2,4,8,16,32,53,106,212,424,848,1696

Greatest Common Factor

We found the factors 8230,1696 . The biggest common factor number is the GCF number.
So the greatest common factor 8230,1696 is 2.

Lets's calculate LCM of 483,534

3 483, 534
161, 178

∴ So the LCM of the given numbers is 3 x 161 x 178 = 85974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85974

Therefore, the GCF of Fractions 8230/483,1696/534 is 2/85974

Least Common Multiple of 483,534 with GCF Formula

Least Common Multiple of 483,534 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 483,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,534) = 3

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

GCF(483,534) x common factors =3 x 1 = 3

LCM(483,534) = ( 483 × 534 ) / 3

LCM(483,534) = 257922 / 3

LCM(483,534) = 85974


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 8230/483, 1696/534

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 8230/483, 1696/534?

Answer: GCF of Numerators as per given numbers 8230/483, 1696/534 is

GCF of Numerators i.e. for 8230,1696 is 2

LCM of denominators i.e. for 483,534 is 85974.

Thus, GCF of Fractions is 2/85974.Finally, GCF of Fractions for 8230/483, 1696/534 is 2/85974.