Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4765/594,9909/6157
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 4765,9909
Greatest Common Factor of Numerators i.e. GCF of 4765,9909 is 1 .
LCM of Denominators means LCM of 594,6157 as per the given fractions.
LCM of 594,6157 is 3657258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4765,9909
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4765
List of positive integer factors of 4765 that divides 4765 without a remainder.
1,5,953,4765
Factors of 9909
List of positive integer factors of 9909 that divides 9909 without a remainder.
1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 4765,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 4765,9909 is 1.
Lets's calculate LCM of 594,6157
Given numbers has no common factors except 1. So, there LCM is their product i.e 3657258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3657258
Therefore, the GCF of Fractions 4765/594,9909/6157 is 1/3657258
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 594,6157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,6157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(594,6157) x common factors =1 x 1 = 1
LCM(594,6157) = ( 594 × 6157 ) / 1
LCM(594,6157) = 3657258 / 1
LCM(594,6157) = 3657258
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 4765/594, 9909/6157?
Answer: GCF of Numerators as per given numbers 4765/594, 9909/6157 is
GCF of Numerators i.e. for 4765,9909 is 1
LCM of denominators i.e. for 594,6157 is 3657258.
Thus, GCF of Fractions is 1/3657258.Finally, GCF of Fractions for 4765/594, 9909/6157 is 1/3657258.