Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5989/47,1559/607
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 5989,1559
Greatest Common Factor of Numerators i.e. GCF of 5989,1559 is 1 .
LCM of Denominators means LCM of 47,607 as per the given fractions.
LCM of 47,607 is 28529 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5989,1559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5989
List of positive integer factors of 5989 that divides 5989 without a remainder.
1,53,113,5989
Factors of 1559
List of positive integer factors of 1559 that divides 1559 without a remainder.
1,1559
Greatest Common Factor
We found the factors 5989,1559 . The biggest common factor number is the GCF number.
So the greatest common factor 5989,1559 is 1.
Lets's calculate LCM of 47,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 28529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28529
Therefore, the GCF of Fractions 5989/47,1559/607 is 1/28529
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 47,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,607) x common factors =1 x 1 = 1
LCM(47,607) = ( 47 × 607 ) / 1
LCM(47,607) = 28529 / 1
LCM(47,607) = 28529
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 5989/47, 1559/607?
Answer: GCF of Numerators as per given numbers 5989/47, 1559/607 is
GCF of Numerators i.e. for 5989,1559 is 1
LCM of denominators i.e. for 47,607 is 28529.
Thus, GCF of Fractions is 1/28529.Finally, GCF of Fractions for 5989/47, 1559/607 is 1/28529.