Greatest Common Factor of 345/29, 828/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/29, 828/709

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 345/29,828/709

Given fractions are 345/29,828/709

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 345,828

Greatest Common Factor of Numerators i.e. GCF of 345,828 is 69 .

LCM of Denominators means LCM of 29,709 as per the given fractions.

LCM of 29,709 is 20561 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,828

GCF of Fractions 345/29,828/709 is 69/20561

3 345, 828
23 115, 276
5, 12

∴ So the GCF of the given numbers is 3 x 23 = 69

Greatest Common Factor of 345,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,828 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 345,828 . The biggest common factor number is the GCF number.
So the greatest common factor 345,828 is 69.

Lets's calculate LCM of 29,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 20561

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/20561

Therefore, the GCF of Fractions 345/29,828/709 is 69/20561

Least Common Multiple of 29,709 with GCF Formula

Least Common Multiple of 29,709 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 29,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,709) = 1

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

GCF(29,709) x common factors =1 x 1 = 1

LCM(29,709) = ( 29 × 709 ) / 1

LCM(29,709) = 20561 / 1

LCM(29,709) = 20561


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 345/29, 828/709

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 345/29, 828/709?

Answer: GCF of Numerators as per given numbers 345/29, 828/709 is

GCF of Numerators i.e. for 345,828 is 69

LCM of denominators i.e. for 29,709 is 20561.

Thus, GCF of Fractions is 69/20561.Finally, GCF of Fractions for 345/29, 828/709 is 69/20561.