Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9933/478,2640/3877
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 9933,2640
Greatest Common Factor of Numerators i.e. GCF of 9933,2640 is 33 .
LCM of Denominators means LCM of 478,3877 as per the given fractions.
LCM of 478,3877 is 1853206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9933,2640
3 | 9933, 2640 |
11 | 3311, 880 |
301, 80 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 9933
List of positive integer factors of 9933 that divides 9933 without a remainder.
1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933
Factors of 2640
List of positive integer factors of 2640 that divides 2640 without a remainder.
1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Greatest Common Factor
We found the factors 9933,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 9933,2640 is 33.
Lets's calculate LCM of 478,3877
Given numbers has no common factors except 1. So, there LCM is their product i.e 1853206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1853206
Therefore, the GCF of Fractions 9933/478,2640/3877 is 33/1853206
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 478,3877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,3877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,3877) x common factors =1 x 1 = 1
LCM(478,3877) = ( 478 × 3877 ) / 1
LCM(478,3877) = 1853206 / 1
LCM(478,3877) = 1853206
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 9933/478, 2640/3877?
Answer: GCF of Numerators as per given numbers 9933/478, 2640/3877 is
GCF of Numerators i.e. for 9933,2640 is 33
LCM of denominators i.e. for 478,3877 is 1853206.
Thus, GCF of Fractions is 33/1853206.Finally, GCF of Fractions for 9933/478, 2640/3877 is 33/1853206.