Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2212/653,4437/797
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 2212,4437
Greatest Common Factor of Numerators i.e. GCF of 2212,4437 is 1 .
LCM of Denominators means LCM of 653,797 as per the given fractions.
LCM of 653,797 is 520441 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2212,4437
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2212
List of positive integer factors of 2212 that divides 2212 without a remainder.
1,2,4,7,14,28,79,158,316,553,1106,2212
Factors of 4437
List of positive integer factors of 4437 that divides 4437 without a remainder.
1,3,9,17,29,51,87,153,261,493,1479,4437
Greatest Common Factor
We found the factors 2212,4437 . The biggest common factor number is the GCF number.
So the greatest common factor 2212,4437 is 1.
Lets's calculate LCM of 653,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 520441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/520441
Therefore, the GCF of Fractions 2212/653,4437/797 is 1/520441
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 653,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,797) x common factors =1 x 1 = 1
LCM(653,797) = ( 653 × 797 ) / 1
LCM(653,797) = 520441 / 1
LCM(653,797) = 520441
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 2212/653, 4437/797?
Answer: GCF of Numerators as per given numbers 2212/653, 4437/797 is
GCF of Numerators i.e. for 2212,4437 is 1
LCM of denominators i.e. for 653,797 is 520441.
Thus, GCF of Fractions is 1/520441.Finally, GCF of Fractions for 2212/653, 4437/797 is 1/520441.