Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 715/139,3887/9388
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 715,3887
Greatest Common Factor of Numerators i.e. GCF of 715,3887 is 13 .
LCM of Denominators means LCM of 139,9388 as per the given fractions.
LCM of 139,9388 is 1304932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 715,3887
13 | 715, 3887 |
55, 299 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 3887
List of positive integer factors of 3887 that divides 3887 without a remainder.
1,13,23,169,299,3887
Greatest Common Factor
We found the factors 715,3887 . The biggest common factor number is the GCF number.
So the greatest common factor 715,3887 is 13.
Lets's calculate LCM of 139,9388
Given numbers has no common factors except 1. So, there LCM is their product i.e 1304932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1304932
Therefore, the GCF of Fractions 715/139,3887/9388 is 13/1304932
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 139,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,9388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,9388) x common factors =1 x 1 = 1
LCM(139,9388) = ( 139 × 9388 ) / 1
LCM(139,9388) = 1304932 / 1
LCM(139,9388) = 1304932
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 715/139, 3887/9388?
Answer: GCF of Numerators as per given numbers 715/139, 3887/9388 is
GCF of Numerators i.e. for 715,3887 is 13
LCM of denominators i.e. for 139,9388 is 1304932.
Thus, GCF of Fractions is 13/1304932.Finally, GCF of Fractions for 715/139, 3887/9388 is 13/1304932.