Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 522/493,9037/933
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 522,9037
Greatest Common Factor of Numerators i.e. GCF of 522,9037 is 1 .
LCM of Denominators means LCM of 493,933 as per the given fractions.
LCM of 493,933 is 459969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 522,9037
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 9037
List of positive integer factors of 9037 that divides 9037 without a remainder.
1,7,1291,9037
Greatest Common Factor
We found the factors 522,9037 . The biggest common factor number is the GCF number.
So the greatest common factor 522,9037 is 1.
Lets's calculate LCM of 493,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 459969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459969
Therefore, the GCF of Fractions 522/493,9037/933 is 1/459969
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 493,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,933) x common factors =1 x 1 = 1
LCM(493,933) = ( 493 × 933 ) / 1
LCM(493,933) = 459969 / 1
LCM(493,933) = 459969
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 522/493, 9037/933?
Answer: GCF of Numerators as per given numbers 522/493, 9037/933 is
GCF of Numerators i.e. for 522,9037 is 1
LCM of denominators i.e. for 493,933 is 459969.
Thus, GCF of Fractions is 1/459969.Finally, GCF of Fractions for 522/493, 9037/933 is 1/459969.