Greatest Common Factor of 5305/69, 5953/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5305/69, 5953/929

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 5305/69,5953/929

Given fractions are 5305/69,5953/929

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 5305,5953

Greatest Common Factor of Numerators i.e. GCF of 5305,5953 is 1 .

LCM of Denominators means LCM of 69,929 as per the given fractions.

LCM of 69,929 is 64101 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5305,5953

GCF of Fractions 5305/69,5953/929 is 1/64101

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

Greatest Common Factor of 5305,5953 By Matching Biggest Common Factor Method

Greatest Common Factor of 5305,5953 By Matching Biggest Common Factor Method

Factors of 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1,5,1061,5305

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1,5953

Greatest Common Factor

We found the factors 5305,5953 . The biggest common factor number is the GCF number.
So the greatest common factor 5305,5953 is 1.

Lets's calculate LCM of 69,929

Given numbers has no common factors except 1. So, there LCM is their product i.e 64101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64101

Therefore, the GCF of Fractions 5305/69,5953/929 is 1/64101

Least Common Multiple of 69,929 with GCF Formula

Least Common Multiple of 69,929 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 69,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,929) = 1

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

GCF(69,929) x common factors =1 x 1 = 1

LCM(69,929) = ( 69 × 929 ) / 1

LCM(69,929) = 64101 / 1

LCM(69,929) = 64101


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 5305/69, 5953/929

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 5305/69, 5953/929?

Answer: GCF of Numerators as per given numbers 5305/69, 5953/929 is

GCF of Numerators i.e. for 5305,5953 is 1

LCM of denominators i.e. for 69,929 is 64101.

Thus, GCF of Fractions is 1/64101.Finally, GCF of Fractions for 5305/69, 5953/929 is 1/64101.