Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6607/397,7060/6190
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 6607,7060
Greatest Common Factor of Numerators i.e. GCF of 6607,7060 is 1 .
LCM of Denominators means LCM of 397,6190 as per the given fractions.
LCM of 397,6190 is 2457430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6607,7060
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6607
List of positive integer factors of 6607 that divides 6607 without a remainder.
1,6607
Factors of 7060
List of positive integer factors of 7060 that divides 7060 without a remainder.
1,2,4,5,10,20,353,706,1412,1765,3530,7060
Greatest Common Factor
We found the factors 6607,7060 . The biggest common factor number is the GCF number.
So the greatest common factor 6607,7060 is 1.
Lets's calculate LCM of 397,6190
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2457430
Therefore, the GCF of Fractions 6607/397,7060/6190 is 1/2457430
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 397,6190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,6190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,6190) x common factors =1 x 1 = 1
LCM(397,6190) = ( 397 × 6190 ) / 1
LCM(397,6190) = 2457430 / 1
LCM(397,6190) = 2457430
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 6607/397, 7060/6190?
Answer: GCF of Numerators as per given numbers 6607/397, 7060/6190 is
GCF of Numerators i.e. for 6607,7060 is 1
LCM of denominators i.e. for 397,6190 is 2457430.
Thus, GCF of Fractions is 1/2457430.Finally, GCF of Fractions for 6607/397, 7060/6190 is 1/2457430.