Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/39,660/9587
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 428,660
Greatest Common Factor of Numerators i.e. GCF of 428,660 is 4 .
LCM of Denominators means LCM of 39,9587 as per the given fractions.
LCM of 39,9587 is 373893 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 428,660
2 | 428, 660 |
2 | 214, 330 |
107, 165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 428,660 . The biggest common factor number is the GCF number.
So the greatest common factor 428,660 is 4.
Lets's calculate LCM of 39,9587
Given numbers has no common factors except 1. So, there LCM is their product i.e 373893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/373893
Therefore, the GCF of Fractions 428/39,660/9587 is 4/373893
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 39,9587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,9587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,9587) x common factors =1 x 1 = 1
LCM(39,9587) = ( 39 × 9587 ) / 1
LCM(39,9587) = 373893 / 1
LCM(39,9587) = 373893
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 428/39, 660/9587?
Answer: GCF of Numerators as per given numbers 428/39, 660/9587 is
GCF of Numerators i.e. for 428,660 is 4
LCM of denominators i.e. for 39,9587 is 373893.
Thus, GCF of Fractions is 4/373893.Finally, GCF of Fractions for 428/39, 660/9587 is 4/373893.