Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3428/165,2111/326
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 3428,2111
Greatest Common Factor of Numerators i.e. GCF of 3428,2111 is 1 .
LCM of Denominators means LCM of 165,326 as per the given fractions.
LCM of 165,326 is 53790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3428,2111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3428
List of positive integer factors of 3428 that divides 3428 without a remainder.
1,2,4,857,1714,3428
Factors of 2111
List of positive integer factors of 2111 that divides 2111 without a remainder.
1,2111
Greatest Common Factor
We found the factors 3428,2111 . The biggest common factor number is the GCF number.
So the greatest common factor 3428,2111 is 1.
Lets's calculate LCM of 165,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 53790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53790
Therefore, the GCF of Fractions 3428/165,2111/326 is 1/53790
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 165,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,326) x common factors =1 x 1 = 1
LCM(165,326) = ( 165 × 326 ) / 1
LCM(165,326) = 53790 / 1
LCM(165,326) = 53790
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 3428/165, 2111/326?
Answer: GCF of Numerators as per given numbers 3428/165, 2111/326 is
GCF of Numerators i.e. for 3428,2111 is 1
LCM of denominators i.e. for 165,326 is 53790.
Thus, GCF of Fractions is 1/53790.Finally, GCF of Fractions for 3428/165, 2111/326 is 1/53790.