Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5900/859,8589/1412
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 5900,8589
Greatest Common Factor of Numerators i.e. GCF of 5900,8589 is 1 .
LCM of Denominators means LCM of 859,1412 as per the given fractions.
LCM of 859,1412 is 1212908 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5900,8589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5900
List of positive integer factors of 5900 that divides 5900 without a remainder.
1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Factors of 8589
List of positive integer factors of 8589 that divides 8589 without a remainder.
1,3,7,21,409,1227,2863,8589
Greatest Common Factor
We found the factors 5900,8589 . The biggest common factor number is the GCF number.
So the greatest common factor 5900,8589 is 1.
Lets's calculate LCM of 859,1412
Given numbers has no common factors except 1. So, there LCM is their product i.e 1212908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1212908
Therefore, the GCF of Fractions 5900/859,8589/1412 is 1/1212908
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 859,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,1412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,1412) x common factors =1 x 1 = 1
LCM(859,1412) = ( 859 × 1412 ) / 1
LCM(859,1412) = 1212908 / 1
LCM(859,1412) = 1212908
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 5900/859, 8589/1412?
Answer: GCF of Numerators as per given numbers 5900/859, 8589/1412 is
GCF of Numerators i.e. for 5900,8589 is 1
LCM of denominators i.e. for 859,1412 is 1212908.
Thus, GCF of Fractions is 1/1212908.Finally, GCF of Fractions for 5900/859, 8589/1412 is 1/1212908.