Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/39,333/2160
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 970,333
Greatest Common Factor of Numerators i.e. GCF of 970,333 is 1 .
LCM of Denominators means LCM of 39,2160 as per the given fractions.
LCM of 39,2160 is 28080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 970,333 . The biggest common factor number is the GCF number.
So the greatest common factor 970,333 is 1.
Lets's calculate LCM of 39,2160
3 | 39, 2160 |
13, 720 |
∴ So the LCM of the given numbers is 3 x 13 x 720 = 28080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28080
Therefore, the GCF of Fractions 970/39,333/2160 is 1/28080
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 39,2160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,2160) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,2160) x common factors =3 x 1 = 3
LCM(39,2160) = ( 39 × 2160 ) / 3
LCM(39,2160) = 84240 / 3
LCM(39,2160) = 28080
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 970/39, 333/2160?
Answer: GCF of Numerators as per given numbers 970/39, 333/2160 is
GCF of Numerators i.e. for 970,333 is 1
LCM of denominators i.e. for 39,2160 is 28080.
Thus, GCF of Fractions is 1/28080.Finally, GCF of Fractions for 970/39, 333/2160 is 1/28080.