Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6184/38,9990/774
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 6184,9990
Greatest Common Factor of Numerators i.e. GCF of 6184,9990 is 2 .
LCM of Denominators means LCM of 38,774 as per the given fractions.
LCM of 38,774 is 14706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6184,9990
2 | 6184, 9990 |
3092, 4995 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6184
List of positive integer factors of 6184 that divides 6184 without a remainder.
1,2,4,8,773,1546,3092,6184
Factors of 9990
List of positive integer factors of 9990 that divides 9990 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990
Greatest Common Factor
We found the factors 6184,9990 . The biggest common factor number is the GCF number.
So the greatest common factor 6184,9990 is 2.
Lets's calculate LCM of 38,774
2 | 38, 774 |
19, 387 |
∴ So the LCM of the given numbers is 2 x 19 x 387 = 14706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14706
Therefore, the GCF of Fractions 6184/38,9990/774 is 2/14706
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 38,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,774) x common factors =2 x 1 = 2
LCM(38,774) = ( 38 × 774 ) / 2
LCM(38,774) = 29412 / 2
LCM(38,774) = 14706
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 6184/38, 9990/774?
Answer: GCF of Numerators as per given numbers 6184/38, 9990/774 is
GCF of Numerators i.e. for 6184,9990 is 2
LCM of denominators i.e. for 38,774 is 14706.
Thus, GCF of Fractions is 2/14706.Finally, GCF of Fractions for 6184/38, 9990/774 is 2/14706.