Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4290/412,9910/190
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 4290,9910
Greatest Common Factor of Numerators i.e. GCF of 4290,9910 is 10 .
LCM of Denominators means LCM of 412,190 as per the given fractions.
LCM of 412,190 is 39140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4290,9910
2 | 4290, 9910 |
5 | 2145, 4955 |
429, 991 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 4290
List of positive integer factors of 4290 that divides 4290 without a remainder.
1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290
Factors of 9910
List of positive integer factors of 9910 that divides 9910 without a remainder.
1,2,5,10,991,1982,4955,9910
Greatest Common Factor
We found the factors 4290,9910 . The biggest common factor number is the GCF number.
So the greatest common factor 4290,9910 is 10.
Lets's calculate LCM of 412,190
2 | 412, 190 |
206, 95 |
∴ So the LCM of the given numbers is 2 x 206 x 95 = 39140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/39140
Therefore, the GCF of Fractions 4290/412,9910/190 is 10/39140
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 412,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(412,190) x common factors =2 x 1 = 2
LCM(412,190) = ( 412 × 190 ) / 2
LCM(412,190) = 78280 / 2
LCM(412,190) = 39140
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 4290/412, 9910/190?
Answer: GCF of Numerators as per given numbers 4290/412, 9910/190 is
GCF of Numerators i.e. for 4290,9910 is 10
LCM of denominators i.e. for 412,190 is 39140.
Thus, GCF of Fractions is 10/39140.Finally, GCF of Fractions for 4290/412, 9910/190 is 10/39140.