Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/441,5589/940
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 841,5589
Greatest Common Factor of Numerators i.e. GCF of 841,5589 is 1 .
LCM of Denominators means LCM of 441,940 as per the given fractions.
LCM of 441,940 is 414540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 841,5589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 5589
List of positive integer factors of 5589 that divides 5589 without a remainder.
1,3,9,23,27,69,81,207,243,621,1863,5589
Greatest Common Factor
We found the factors 841,5589 . The biggest common factor number is the GCF number.
So the greatest common factor 841,5589 is 1.
Lets's calculate LCM of 441,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 414540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414540
Therefore, the GCF of Fractions 841/441,5589/940 is 1/414540
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 441,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,940) x common factors =1 x 1 = 1
LCM(441,940) = ( 441 × 940 ) / 1
LCM(441,940) = 414540 / 1
LCM(441,940) = 414540
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 841/441, 5589/940?
Answer: GCF of Numerators as per given numbers 841/441, 5589/940 is
GCF of Numerators i.e. for 841,5589 is 1
LCM of denominators i.e. for 441,940 is 414540.
Thus, GCF of Fractions is 1/414540.Finally, GCF of Fractions for 841/441, 5589/940 is 1/414540.