Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/622,9395/369
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 661,9395
Greatest Common Factor of Numerators i.e. GCF of 661,9395 is 1 .
LCM of Denominators means LCM of 622,369 as per the given fractions.
LCM of 622,369 is 229518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 661,9395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 9395
List of positive integer factors of 9395 that divides 9395 without a remainder.
1,5,1879,9395
Greatest Common Factor
We found the factors 661,9395 . The biggest common factor number is the GCF number.
So the greatest common factor 661,9395 is 1.
Lets's calculate LCM of 622,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 229518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229518
Therefore, the GCF of Fractions 661/622,9395/369 is 1/229518
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 622,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,369) x common factors =1 x 1 = 1
LCM(622,369) = ( 622 × 369 ) / 1
LCM(622,369) = 229518 / 1
LCM(622,369) = 229518
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 661/622, 9395/369?
Answer: GCF of Numerators as per given numbers 661/622, 9395/369 is
GCF of Numerators i.e. for 661,9395 is 1
LCM of denominators i.e. for 622,369 is 229518.
Thus, GCF of Fractions is 1/229518.Finally, GCF of Fractions for 661/622, 9395/369 is 1/229518.