Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6225/455,4446/1486
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 6225,4446
Greatest Common Factor of Numerators i.e. GCF of 6225,4446 is 3 .
LCM of Denominators means LCM of 455,1486 as per the given fractions.
LCM of 455,1486 is 676130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6225,4446
3 | 6225, 4446 |
2075, 1482 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6225
List of positive integer factors of 6225 that divides 6225 without a remainder.
1,3,5,15,25,75,83,249,415,1245,2075,6225
Factors of 4446
List of positive integer factors of 4446 that divides 4446 without a remainder.
1,2,3,6,9,13,18,19,26,38,39,57,78,114,117,171,234,247,342,494,741,1482,2223,4446
Greatest Common Factor
We found the factors 6225,4446 . The biggest common factor number is the GCF number.
So the greatest common factor 6225,4446 is 3.
Lets's calculate LCM of 455,1486
Given numbers has no common factors except 1. So, there LCM is their product i.e 676130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/676130
Therefore, the GCF of Fractions 6225/455,4446/1486 is 3/676130
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 455,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,1486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,1486) x common factors =1 x 1 = 1
LCM(455,1486) = ( 455 × 1486 ) / 1
LCM(455,1486) = 676130 / 1
LCM(455,1486) = 676130
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 6225/455, 4446/1486?
Answer: GCF of Numerators as per given numbers 6225/455, 4446/1486 is
GCF of Numerators i.e. for 6225,4446 is 3
LCM of denominators i.e. for 455,1486 is 676130.
Thus, GCF of Fractions is 3/676130.Finally, GCF of Fractions for 6225/455, 4446/1486 is 3/676130.