Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/990,425/606,954/901
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 15,425,954
Greatest Common Factor of Numerators i.e. GCF of 15,425,954 is 1 .
LCM of Denominators means LCM of 990,606,901 as per the given fractions.
LCM of 990,606,901 is 90090990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,425,954
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 15,425,954 . The biggest common factor number is the GCF number.
So the greatest common factor 15,425,954 is 1.
Lets's calculate LCM of 990,606,901
2 | 990, 606, 901 |
3 | 495, 303, 901 |
165, 101, 901 |
∴ So the LCM of the given numbers is 2 x 3 x 165 x 101 x 901 = 90090990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90090990
Therefore, the GCF of Fractions 15/990,425/606,954/901 is 1/90090990
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 990,606,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,606,901) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(990,606,901) x common factors =1 x 6 = 6
LCM(990,606,901) = ( 990 × 606 × 901 ) / 6
LCM(990,606,901) = 540545940 / 6
LCM(990,606,901) = 90090990
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 15/990, 425/606, 954/901?
Answer: GCF of Numerators as per given numbers 15/990, 425/606, 954/901 is
GCF of Numerators i.e. for 15,425,954 is 1
LCM of denominators i.e. for 990,606,901 is 90090990.
Thus, GCF of Fractions is 1/90090990.Finally, GCF of Fractions for 15/990, 425/606, 954/901 is 1/90090990.