Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 660/624,8230/1217
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 660,8230
Greatest Common Factor of Numerators i.e. GCF of 660,8230 is 10 .
LCM of Denominators means LCM of 624,1217 as per the given fractions.
LCM of 624,1217 is 759408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 660,8230
2 | 660, 8230 |
5 | 330, 4115 |
66, 823 |
∴ So the GCF of the given numbers is 2 x 5 = 10
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
Factors of 8230
List of positive integer factors of 8230 that divides 8230 without a remainder.
1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 660,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 660,8230 is 10.
Lets's calculate LCM of 624,1217
Given numbers has no common factors except 1. So, there LCM is their product i.e 759408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/759408
Therefore, the GCF of Fractions 660/624,8230/1217 is 10/759408
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 624,1217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,1217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,1217) x common factors =1 x 1 = 1
LCM(624,1217) = ( 624 × 1217 ) / 1
LCM(624,1217) = 759408 / 1
LCM(624,1217) = 759408
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 660/624, 8230/1217?
Answer: GCF of Numerators as per given numbers 660/624, 8230/1217 is
GCF of Numerators i.e. for 660,8230 is 10
LCM of denominators i.e. for 624,1217 is 759408.
Thus, GCF of Fractions is 10/759408.Finally, GCF of Fractions for 660/624, 8230/1217 is 10/759408.