Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4441/89,2002/159
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 4441,2002
Greatest Common Factor of Numerators i.e. GCF of 4441,2002 is 1 .
LCM of Denominators means LCM of 89,159 as per the given fractions.
LCM of 89,159 is 14151 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4441,2002
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4441
List of positive integer factors of 4441 that divides 4441 without a remainder.
1,4441
Factors of 2002
List of positive integer factors of 2002 that divides 2002 without a remainder.
1,2,7,11,13,14,22,26,77,91,143,154,182,286,1001,2002
Greatest Common Factor
We found the factors 4441,2002 . The biggest common factor number is the GCF number.
So the greatest common factor 4441,2002 is 1.
Lets's calculate LCM of 89,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 14151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14151
Therefore, the GCF of Fractions 4441/89,2002/159 is 1/14151
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 89,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,159) x common factors =1 x 1 = 1
LCM(89,159) = ( 89 × 159 ) / 1
LCM(89,159) = 14151 / 1
LCM(89,159) = 14151
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 4441/89, 2002/159?
Answer: GCF of Numerators as per given numbers 4441/89, 2002/159 is
GCF of Numerators i.e. for 4441,2002 is 1
LCM of denominators i.e. for 89,159 is 14151.
Thus, GCF of Fractions is 1/14151.Finally, GCF of Fractions for 4441/89, 2002/159 is 1/14151.