Greatest Common Factor of 344/69, 8504/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 344/69, 8504/536

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 344/69,8504/536

Given fractions are 344/69,8504/536

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 344,8504

Greatest Common Factor of Numerators i.e. GCF of 344,8504 is 8 .

LCM of Denominators means LCM of 69,536 as per the given fractions.

LCM of 69,536 is 36984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 344,8504

GCF of Fractions 344/69,8504/536 is 8/36984

2 344, 8504
2 172, 4252
2 86, 2126
43, 1063

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 344,8504 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,8504 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Greatest Common Factor

We found the factors 344,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 344,8504 is 8.

Lets's calculate LCM of 69,536

Given numbers has no common factors except 1. So, there LCM is their product i.e 36984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/36984

Therefore, the GCF of Fractions 344/69,8504/536 is 8/36984

Least Common Multiple of 69,536 with GCF Formula

Least Common Multiple of 69,536 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 69,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,536) = 1

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

GCF(69,536) x common factors =1 x 1 = 1

LCM(69,536) = ( 69 × 536 ) / 1

LCM(69,536) = 36984 / 1

LCM(69,536) = 36984


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 344/69, 8504/536

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 344/69, 8504/536?

Answer: GCF of Numerators as per given numbers 344/69, 8504/536 is

GCF of Numerators i.e. for 344,8504 is 8

LCM of denominators i.e. for 69,536 is 36984.

Thus, GCF of Fractions is 8/36984.Finally, GCF of Fractions for 344/69, 8504/536 is 8/36984.