Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4551/581,2011/425
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 4551,2011
Greatest Common Factor of Numerators i.e. GCF of 4551,2011 is 1 .
LCM of Denominators means LCM of 581,425 as per the given fractions.
LCM of 581,425 is 246925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4551,2011
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4551
List of positive integer factors of 4551 that divides 4551 without a remainder.
1,3,37,41,111,123,1517,4551
Factors of 2011
List of positive integer factors of 2011 that divides 2011 without a remainder.
1,2011
Greatest Common Factor
We found the factors 4551,2011 . The biggest common factor number is the GCF number.
So the greatest common factor 4551,2011 is 1.
Lets's calculate LCM of 581,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 246925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246925
Therefore, the GCF of Fractions 4551/581,2011/425 is 1/246925
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 581,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,425) x common factors =1 x 1 = 1
LCM(581,425) = ( 581 × 425 ) / 1
LCM(581,425) = 246925 / 1
LCM(581,425) = 246925
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 4551/581, 2011/425?
Answer: GCF of Numerators as per given numbers 4551/581, 2011/425 is
GCF of Numerators i.e. for 4551,2011 is 1
LCM of denominators i.e. for 581,425 is 246925.
Thus, GCF of Fractions is 1/246925.Finally, GCF of Fractions for 4551/581, 2011/425 is 1/246925.