Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/620,20/1589
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 25,20
Greatest Common Factor of Numerators i.e. GCF of 25,20 is 5 .
LCM of Denominators means LCM of 620,1589 as per the given fractions.
LCM of 620,1589 is 985180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,20
5 | 25, 20 |
5, 4 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 25,20 . The biggest common factor number is the GCF number.
So the greatest common factor 25,20 is 5.
Lets's calculate LCM of 620,1589
Given numbers has no common factors except 1. So, there LCM is their product i.e 985180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/985180
Therefore, the GCF of Fractions 25/620,20/1589 is 5/985180
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 620,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,1589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,1589) x common factors =1 x 1 = 1
LCM(620,1589) = ( 620 × 1589 ) / 1
LCM(620,1589) = 985180 / 1
LCM(620,1589) = 985180
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 25/620, 20/1589?
Answer: GCF of Numerators as per given numbers 25/620, 20/1589 is
GCF of Numerators i.e. for 25,20 is 5
LCM of denominators i.e. for 620,1589 is 985180.
Thus, GCF of Fractions is 5/985180.Finally, GCF of Fractions for 25/620, 20/1589 is 5/985180.