Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6120/358,2902/9990
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 6120,2902
Greatest Common Factor of Numerators i.e. GCF of 6120,2902 is 2 .
LCM of Denominators means LCM of 358,9990 as per the given fractions.
LCM of 358,9990 is 1788210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6120,2902
2 | 6120, 2902 |
3060, 1451 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6120
List of positive integer factors of 6120 that divides 6120 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1,2,1451,2902
Greatest Common Factor
We found the factors 6120,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 6120,2902 is 2.
Lets's calculate LCM of 358,9990
2 | 358, 9990 |
179, 4995 |
∴ So the LCM of the given numbers is 2 x 179 x 4995 = 1788210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1788210
Therefore, the GCF of Fractions 6120/358,2902/9990 is 2/1788210
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 358,9990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,9990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,9990) x common factors =2 x 1 = 2
LCM(358,9990) = ( 358 × 9990 ) / 2
LCM(358,9990) = 3576420 / 2
LCM(358,9990) = 1788210
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 6120/358, 2902/9990?
Answer: GCF of Numerators as per given numbers 6120/358, 2902/9990 is
GCF of Numerators i.e. for 6120,2902 is 2
LCM of denominators i.e. for 358,9990 is 1788210.
Thus, GCF of Fractions is 2/1788210.Finally, GCF of Fractions for 6120/358, 2902/9990 is 2/1788210.