Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5212/513,2685/4423
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 5212,2685
Greatest Common Factor of Numerators i.e. GCF of 5212,2685 is 1 .
LCM of Denominators means LCM of 513,4423 as per the given fractions.
LCM of 513,4423 is 2268999 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5212,2685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5212
List of positive integer factors of 5212 that divides 5212 without a remainder.
1,2,4,1303,2606,5212
Factors of 2685
List of positive integer factors of 2685 that divides 2685 without a remainder.
1,3,5,15,179,537,895,2685
Greatest Common Factor
We found the factors 5212,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 5212,2685 is 1.
Lets's calculate LCM of 513,4423
Given numbers has no common factors except 1. So, there LCM is their product i.e 2268999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2268999
Therefore, the GCF of Fractions 5212/513,2685/4423 is 1/2268999
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 513,4423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,4423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,4423) x common factors =1 x 1 = 1
LCM(513,4423) = ( 513 × 4423 ) / 1
LCM(513,4423) = 2268999 / 1
LCM(513,4423) = 2268999
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 5212/513, 2685/4423?
Answer: GCF of Numerators as per given numbers 5212/513, 2685/4423 is
GCF of Numerators i.e. for 5212,2685 is 1
LCM of denominators i.e. for 513,4423 is 2268999.
Thus, GCF of Fractions is 1/2268999.Finally, GCF of Fractions for 5212/513, 2685/4423 is 1/2268999.