Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9353/538,1180/5219
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 9353,1180
Greatest Common Factor of Numerators i.e. GCF of 9353,1180 is 1 .
LCM of Denominators means LCM of 538,5219 as per the given fractions.
LCM of 538,5219 is 2807822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9353,1180
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9353
List of positive integer factors of 9353 that divides 9353 without a remainder.
1,47,199,9353
Factors of 1180
List of positive integer factors of 1180 that divides 1180 without a remainder.
1,2,4,5,10,20,59,118,236,295,590,1180
Greatest Common Factor
We found the factors 9353,1180 . The biggest common factor number is the GCF number.
So the greatest common factor 9353,1180 is 1.
Lets's calculate LCM of 538,5219
Given numbers has no common factors except 1. So, there LCM is their product i.e 2807822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2807822
Therefore, the GCF of Fractions 9353/538,1180/5219 is 1/2807822
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 538,5219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,5219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,5219) x common factors =1 x 1 = 1
LCM(538,5219) = ( 538 × 5219 ) / 1
LCM(538,5219) = 2807822 / 1
LCM(538,5219) = 2807822
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 9353/538, 1180/5219?
Answer: GCF of Numerators as per given numbers 9353/538, 1180/5219 is
GCF of Numerators i.e. for 9353,1180 is 1
LCM of denominators i.e. for 538,5219 is 2807822.
Thus, GCF of Fractions is 1/2807822.Finally, GCF of Fractions for 9353/538, 1180/5219 is 1/2807822.