Greatest Common Factor of 682/31, 183/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/31, 183/954

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 682/31,183/954

Given fractions are 682/31,183/954

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 682,183

Greatest Common Factor of Numerators i.e. GCF of 682,183 is 1 .

LCM of Denominators means LCM of 31,954 as per the given fractions.

LCM of 31,954 is 29574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,183

GCF of Fractions 682/31,183/954 is 1/29574

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

Greatest Common Factor of 682,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,183 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 682,183 . The biggest common factor number is the GCF number.
So the greatest common factor 682,183 is 1.

Lets's calculate LCM of 31,954

Given numbers has no common factors except 1. So, there LCM is their product i.e 29574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29574

Therefore, the GCF of Fractions 682/31,183/954 is 1/29574

Least Common Multiple of 31,954 with GCF Formula

Least Common Multiple of 31,954 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 31,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,954) = 1

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

GCF(31,954) x common factors =1 x 1 = 1

LCM(31,954) = ( 31 × 954 ) / 1

LCM(31,954) = 29574 / 1

LCM(31,954) = 29574


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 682/31, 183/954

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 682/31, 183/954?

Answer: GCF of Numerators as per given numbers 682/31, 183/954 is

GCF of Numerators i.e. for 682,183 is 1

LCM of denominators i.e. for 31,954 is 29574.

Thus, GCF of Fractions is 1/29574.Finally, GCF of Fractions for 682/31, 183/954 is 1/29574.