Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5554/631,8103/9727
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 5554,8103
Greatest Common Factor of Numerators i.e. GCF of 5554,8103 is 1 .
LCM of Denominators means LCM of 631,9727 as per the given fractions.
LCM of 631,9727 is 6137737 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5554,8103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5554
List of positive integer factors of 5554 that divides 5554 without a remainder.
1,2,2777,5554
Factors of 8103
List of positive integer factors of 8103 that divides 8103 without a remainder.
1,3,37,73,111,219,2701,8103
Greatest Common Factor
We found the factors 5554,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 5554,8103 is 1.
Lets's calculate LCM of 631,9727
Given numbers has no common factors except 1. So, there LCM is their product i.e 6137737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6137737
Therefore, the GCF of Fractions 5554/631,8103/9727 is 1/6137737
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 631,9727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,9727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,9727) x common factors =1 x 1 = 1
LCM(631,9727) = ( 631 × 9727 ) / 1
LCM(631,9727) = 6137737 / 1
LCM(631,9727) = 6137737
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 5554/631, 8103/9727?
Answer: GCF of Numerators as per given numbers 5554/631, 8103/9727 is
GCF of Numerators i.e. for 5554,8103 is 1
LCM of denominators i.e. for 631,9727 is 6137737.
Thus, GCF of Fractions is 1/6137737.Finally, GCF of Fractions for 5554/631, 8103/9727 is 1/6137737.