Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7900/415,3870/9984
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 7900,3870
Greatest Common Factor of Numerators i.e. GCF of 7900,3870 is 10 .
LCM of Denominators means LCM of 415,9984 as per the given fractions.
LCM of 415,9984 is 4143360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7900,3870
2 | 7900, 3870 |
5 | 3950, 1935 |
790, 387 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 7900
List of positive integer factors of 7900 that divides 7900 without a remainder.
1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900
Factors of 3870
List of positive integer factors of 3870 that divides 3870 without a remainder.
1,2,3,5,6,9,10,15,18,30,43,45,86,90,129,215,258,387,430,645,774,1290,1935,3870
Greatest Common Factor
We found the factors 7900,3870 . The biggest common factor number is the GCF number.
So the greatest common factor 7900,3870 is 10.
Lets's calculate LCM of 415,9984
Given numbers has no common factors except 1. So, there LCM is their product i.e 4143360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4143360
Therefore, the GCF of Fractions 7900/415,3870/9984 is 10/4143360
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 415,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,9984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,9984) x common factors =1 x 1 = 1
LCM(415,9984) = ( 415 × 9984 ) / 1
LCM(415,9984) = 4143360 / 1
LCM(415,9984) = 4143360
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 7900/415, 3870/9984?
Answer: GCF of Numerators as per given numbers 7900/415, 3870/9984 is
GCF of Numerators i.e. for 7900,3870 is 10
LCM of denominators i.e. for 415,9984 is 4143360.
Thus, GCF of Fractions is 10/4143360.Finally, GCF of Fractions for 7900/415, 3870/9984 is 10/4143360.