Greatest Common Factor of 1165/29, 5356/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1165/29, 5356/346

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 1165/29,5356/346

Given fractions are 1165/29,5356/346

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 1165,5356

Greatest Common Factor of Numerators i.e. GCF of 1165,5356 is 1 .

LCM of Denominators means LCM of 29,346 as per the given fractions.

LCM of 29,346 is 10034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1165,5356

GCF of Fractions 1165/29,5356/346 is 1/10034

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

Greatest Common Factor of 1165,5356 By Matching Biggest Common Factor Method

Greatest Common Factor of 1165,5356 By Matching Biggest Common Factor Method

Factors of 1165

List of positive integer factors of 1165 that divides 1165 without a remainder.

1,5,233,1165

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors 1165,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 1165,5356 is 1.

Lets's calculate LCM of 29,346

Given numbers has no common factors except 1. So, there LCM is their product i.e 10034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10034

Therefore, the GCF of Fractions 1165/29,5356/346 is 1/10034

Least Common Multiple of 29,346 with GCF Formula

Least Common Multiple of 29,346 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 29,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,346) = 1

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

GCF(29,346) x common factors =1 x 1 = 1

LCM(29,346) = ( 29 × 346 ) / 1

LCM(29,346) = 10034 / 1

LCM(29,346) = 10034


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 1165/29, 5356/346

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 1165/29, 5356/346?

Answer: GCF of Numerators as per given numbers 1165/29, 5356/346 is

GCF of Numerators i.e. for 1165,5356 is 1

LCM of denominators i.e. for 29,346 is 10034.

Thus, GCF of Fractions is 1/10034.Finally, GCF of Fractions for 1165/29, 5356/346 is 1/10034.