Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 607/566,212/859
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 607,212
Greatest Common Factor of Numerators i.e. GCF of 607,212 is 1 .
LCM of Denominators means LCM of 566,859 as per the given fractions.
LCM of 566,859 is 486194 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 607,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 607,212 . The biggest common factor number is the GCF number.
So the greatest common factor 607,212 is 1.
Lets's calculate LCM of 566,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 486194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486194
Therefore, the GCF of Fractions 607/566,212/859 is 1/486194
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 566,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,859) x common factors =1 x 1 = 1
LCM(566,859) = ( 566 × 859 ) / 1
LCM(566,859) = 486194 / 1
LCM(566,859) = 486194
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 607/566, 212/859?
Answer: GCF of Numerators as per given numbers 607/566, 212/859 is
GCF of Numerators i.e. for 607,212 is 1
LCM of denominators i.e. for 566,859 is 486194.
Thus, GCF of Fractions is 1/486194.Finally, GCF of Fractions for 607/566, 212/859 is 1/486194.