Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2229/582,9027/9028
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 2229,9027
Greatest Common Factor of Numerators i.e. GCF of 2229,9027 is 3 .
LCM of Denominators means LCM of 582,9028 as per the given fractions.
LCM of 582,9028 is 2627148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2229,9027
3 | 2229, 9027 |
743, 3009 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2229
List of positive integer factors of 2229 that divides 2229 without a remainder.
1,3,743,2229
Factors of 9027
List of positive integer factors of 9027 that divides 9027 without a remainder.
1,3,9,17,51,59,153,177,531,1003,3009,9027
Greatest Common Factor
We found the factors 2229,9027 . The biggest common factor number is the GCF number.
So the greatest common factor 2229,9027 is 3.
Lets's calculate LCM of 582,9028
2 | 582, 9028 |
291, 4514 |
∴ So the LCM of the given numbers is 2 x 291 x 4514 = 2627148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2627148
Therefore, the GCF of Fractions 2229/582,9027/9028 is 3/2627148
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 582,9028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9028) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9028) x common factors =2 x 1 = 2
LCM(582,9028) = ( 582 × 9028 ) / 2
LCM(582,9028) = 5254296 / 2
LCM(582,9028) = 2627148
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 2229/582, 9027/9028?
Answer: GCF of Numerators as per given numbers 2229/582, 9027/9028 is
GCF of Numerators i.e. for 2229,9027 is 3
LCM of denominators i.e. for 582,9028 is 2627148.
Thus, GCF of Fractions is 3/2627148.Finally, GCF of Fractions for 2229/582, 9027/9028 is 3/2627148.