Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/50,447/20,690/93
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 3,447,690
Greatest Common Factor of Numerators i.e. GCF of 3,447,690 is 3 .
LCM of Denominators means LCM of 50,20,93 as per the given fractions.
LCM of 50,20,93 is 9300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,447,690
3 | 3, 447, 690 |
1, 149, 230 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 3,447,690 . The biggest common factor number is the GCF number.
So the greatest common factor 3,447,690 is 3.
Lets's calculate LCM of 50,20,93
2 | 50, 20, 93 |
5 | 25, 10, 93 |
5, 2, 93 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 2 x 93 = 9300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9300
Therefore, the GCF of Fractions 3/50,447/20,690/93 is 3/9300
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 50,20,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,20,93) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(50,20,93) x common factors =1 x 10 = 10
LCM(50,20,93) = ( 50 × 20 × 93 ) / 10
LCM(50,20,93) = 93000 / 10
LCM(50,20,93) = 9300
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 3/50, 447/20, 690/93?
Answer: GCF of Numerators as per given numbers 3/50, 447/20, 690/93 is
GCF of Numerators i.e. for 3,447,690 is 3
LCM of denominators i.e. for 50,20,93 is 9300.
Thus, GCF of Fractions is 3/9300.Finally, GCF of Fractions for 3/50, 447/20, 690/93 is 3/9300.