Greatest Common Factor of 13/44, 34/69, 208/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/44, 34/69, 208/256

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 13/44,34/69,208/256

Given fractions are 13/44,34/69,208/256

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 13,34,208

Greatest Common Factor of Numerators i.e. GCF of 13,34,208 is 1 .

LCM of Denominators means LCM of 44,69,256 as per the given fractions.

LCM of 44,69,256 is 194304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,34,208

GCF of Fractions 13/44,34/69,208/256 is 1/194304

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

Greatest Common Factor of 13,34,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,34,208 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 13,34,208 . The biggest common factor number is the GCF number.
So the greatest common factor 13,34,208 is 1.

Lets's calculate LCM of 44,69,256

2 44, 69, 256
2 22, 69, 128
11, 69, 64

∴ So the LCM of the given numbers is 2 x 2 x 11 x 69 x 64 = 194304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194304

Therefore, the GCF of Fractions 13/44,34/69,208/256 is 1/194304

Least Common Multiple of 44,69,256 with GCF Formula

Least Common Multiple of 44,69,256 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 44,69,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,69,256) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,69,256) x common factors =1 x 4 = 4

LCM(44,69,256) = ( 44 × 69 × 256 ) / 4

LCM(44,69,256) = 777216 / 4

LCM(44,69,256) = 194304


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 13/44, 34/69, 208/256

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 13/44, 34/69, 208/256?

Answer: GCF of Numerators as per given numbers 13/44, 34/69, 208/256 is

GCF of Numerators i.e. for 13,34,208 is 1

LCM of denominators i.e. for 44,69,256 is 194304.

Thus, GCF of Fractions is 1/194304.Finally, GCF of Fractions for 13/44, 34/69, 208/256 is 1/194304.