Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8581/33,1009/634
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 8581,1009
Greatest Common Factor of Numerators i.e. GCF of 8581,1009 is 1 .
LCM of Denominators means LCM of 33,634 as per the given fractions.
LCM of 33,634 is 20922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8581,1009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8581
List of positive integer factors of 8581 that divides 8581 without a remainder.
1,8581
Factors of 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1,1009
Greatest Common Factor
We found the factors 8581,1009 . The biggest common factor number is the GCF number.
So the greatest common factor 8581,1009 is 1.
Lets's calculate LCM of 33,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 20922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20922
Therefore, the GCF of Fractions 8581/33,1009/634 is 1/20922
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 33,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,634) x common factors =1 x 1 = 1
LCM(33,634) = ( 33 × 634 ) / 1
LCM(33,634) = 20922 / 1
LCM(33,634) = 20922
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 8581/33, 1009/634?
Answer: GCF of Numerators as per given numbers 8581/33, 1009/634 is
GCF of Numerators i.e. for 8581,1009 is 1
LCM of denominators i.e. for 33,634 is 20922.
Thus, GCF of Fractions is 1/20922.Finally, GCF of Fractions for 8581/33, 1009/634 is 1/20922.