Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3854/955,8080/792
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 3854,8080
Greatest Common Factor of Numerators i.e. GCF of 3854,8080 is 2 .
LCM of Denominators means LCM of 955,792 as per the given fractions.
LCM of 955,792 is 756360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3854,8080
2 | 3854, 8080 |
1927, 4040 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3854
List of positive integer factors of 3854 that divides 3854 without a remainder.
1,2,41,47,82,94,1927,3854
Factors of 8080
List of positive integer factors of 8080 that divides 8080 without a remainder.
1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Greatest Common Factor
We found the factors 3854,8080 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,8080 is 2.
Lets's calculate LCM of 955,792
Given numbers has no common factors except 1. So, there LCM is their product i.e 756360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/756360
Therefore, the GCF of Fractions 3854/955,8080/792 is 2/756360
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 955,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,792) x common factors =1 x 1 = 1
LCM(955,792) = ( 955 × 792 ) / 1
LCM(955,792) = 756360 / 1
LCM(955,792) = 756360
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 3854/955, 8080/792?
Answer: GCF of Numerators as per given numbers 3854/955, 8080/792 is
GCF of Numerators i.e. for 3854,8080 is 2
LCM of denominators i.e. for 955,792 is 756360.
Thus, GCF of Fractions is 2/756360.Finally, GCF of Fractions for 3854/955, 8080/792 is 2/756360.