Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/17,480/64,885/613
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 99,480,885
Greatest Common Factor of Numerators i.e. GCF of 99,480,885 is 3 .
LCM of Denominators means LCM of 17,64,613 as per the given fractions.
LCM of 17,64,613 is 666944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,480,885
3 | 99, 480, 885 |
33, 160, 295 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 99,480,885 . The biggest common factor number is the GCF number.
So the greatest common factor 99,480,885 is 3.
Lets's calculate LCM of 17,64,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 666944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/666944
Therefore, the GCF of Fractions 99/17,480/64,885/613 is 3/666944
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 17,64,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,64,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,64,613) x common factors =1 x 1 = 1
LCM(17,64,613) = ( 17 × 64 × 613 ) / 1
LCM(17,64,613) = 666944 / 1
LCM(17,64,613) = 666944
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 99/17, 480/64, 885/613?
Answer: GCF of Numerators as per given numbers 99/17, 480/64, 885/613 is
GCF of Numerators i.e. for 99,480,885 is 3
LCM of denominators i.e. for 17,64,613 is 666944.
Thus, GCF of Fractions is 3/666944.Finally, GCF of Fractions for 99/17, 480/64, 885/613 is 3/666944.