Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2301/631,2572/1109
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 2301,2572
Greatest Common Factor of Numerators i.e. GCF of 2301,2572 is 1 .
LCM of Denominators means LCM of 631,1109 as per the given fractions.
LCM of 631,1109 is 699779 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2301,2572
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2301
List of positive integer factors of 2301 that divides 2301 without a remainder.
1,3,13,39,59,177,767,2301
Factors of 2572
List of positive integer factors of 2572 that divides 2572 without a remainder.
1,2,4,643,1286,2572
Greatest Common Factor
We found the factors 2301,2572 . The biggest common factor number is the GCF number.
So the greatest common factor 2301,2572 is 1.
Lets's calculate LCM of 631,1109
Given numbers has no common factors except 1. So, there LCM is their product i.e 699779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/699779
Therefore, the GCF of Fractions 2301/631,2572/1109 is 1/699779
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 631,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,1109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,1109) x common factors =1 x 1 = 1
LCM(631,1109) = ( 631 × 1109 ) / 1
LCM(631,1109) = 699779 / 1
LCM(631,1109) = 699779
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 2301/631, 2572/1109?
Answer: GCF of Numerators as per given numbers 2301/631, 2572/1109 is
GCF of Numerators i.e. for 2301,2572 is 1
LCM of denominators i.e. for 631,1109 is 699779.
Thus, GCF of Fractions is 1/699779.Finally, GCF of Fractions for 2301/631, 2572/1109 is 1/699779.