Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9647/212,3032/661
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 9647,3032
Greatest Common Factor of Numerators i.e. GCF of 9647,3032 is 1 .
LCM of Denominators means LCM of 212,661 as per the given fractions.
LCM of 212,661 is 140132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9647,3032
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9647
List of positive integer factors of 9647 that divides 9647 without a remainder.
1,11,877,9647
Factors of 3032
List of positive integer factors of 3032 that divides 3032 without a remainder.
1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 9647,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 9647,3032 is 1.
Lets's calculate LCM of 212,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 140132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140132
Therefore, the GCF of Fractions 9647/212,3032/661 is 1/140132
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 212,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(212,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(212,661) x common factors =1 x 1 = 1
LCM(212,661) = ( 212 × 661 ) / 1
LCM(212,661) = 140132 / 1
LCM(212,661) = 140132
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 9647/212, 3032/661?
Answer: GCF of Numerators as per given numbers 9647/212, 3032/661 is
GCF of Numerators i.e. for 9647,3032 is 1
LCM of denominators i.e. for 212,661 is 140132.
Thus, GCF of Fractions is 1/140132.Finally, GCF of Fractions for 9647/212, 3032/661 is 1/140132.