Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/21,24/78,990/837
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 39,24,990
Greatest Common Factor of Numerators i.e. GCF of 39,24,990 is 3 .
LCM of Denominators means LCM of 21,78,837 as per the given fractions.
LCM of 21,78,837 is 152334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,24,990
3 | 39, 24, 990 |
13, 8, 330 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 39,24,990 . The biggest common factor number is the GCF number.
So the greatest common factor 39,24,990 is 3.
Lets's calculate LCM of 21,78,837
3 | 21, 78, 837 |
7, 26, 279 |
∴ So the LCM of the given numbers is 3 x 7 x 26 x 279 = 152334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/152334
Therefore, the GCF of Fractions 39/21,24/78,990/837 is 3/152334
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 21,78,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,78,837) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(21,78,837) x common factors =3 x 3 = 9
LCM(21,78,837) = ( 21 × 78 × 837 ) / 9
LCM(21,78,837) = 1371006 / 9
LCM(21,78,837) = 152334
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 39/21, 24/78, 990/837?
Answer: GCF of Numerators as per given numbers 39/21, 24/78, 990/837 is
GCF of Numerators i.e. for 39,24,990 is 3
LCM of denominators i.e. for 21,78,837 is 152334.
Thus, GCF of Fractions is 3/152334.Finally, GCF of Fractions for 39/21, 24/78, 990/837 is 3/152334.