Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 909/64,409/737
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 909,409
Greatest Common Factor of Numerators i.e. GCF of 909,409 is 1 .
LCM of Denominators means LCM of 64,737 as per the given fractions.
LCM of 64,737 is 47168 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 909,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 909,409 . The biggest common factor number is the GCF number.
So the greatest common factor 909,409 is 1.
Lets's calculate LCM of 64,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 47168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47168
Therefore, the GCF of Fractions 909/64,409/737 is 1/47168
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 64,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,737) x common factors =1 x 1 = 1
LCM(64,737) = ( 64 × 737 ) / 1
LCM(64,737) = 47168 / 1
LCM(64,737) = 47168
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 909/64, 409/737?
Answer: GCF of Numerators as per given numbers 909/64, 409/737 is
GCF of Numerators i.e. for 909,409 is 1
LCM of denominators i.e. for 64,737 is 47168.
Thus, GCF of Fractions is 1/47168.Finally, GCF of Fractions for 909/64, 409/737 is 1/47168.