Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7433/409,5529/991
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 7433,5529
Greatest Common Factor of Numerators i.e. GCF of 7433,5529 is 1 .
LCM of Denominators means LCM of 409,991 as per the given fractions.
LCM of 409,991 is 405319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7433,5529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7433
List of positive integer factors of 7433 that divides 7433 without a remainder.
1,7433
Factors of 5529
List of positive integer factors of 5529 that divides 5529 without a remainder.
1,3,19,57,97,291,1843,5529
Greatest Common Factor
We found the factors 7433,5529 . The biggest common factor number is the GCF number.
So the greatest common factor 7433,5529 is 1.
Lets's calculate LCM of 409,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 405319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405319
Therefore, the GCF of Fractions 7433/409,5529/991 is 1/405319
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 409,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,991) x common factors =1 x 1 = 1
LCM(409,991) = ( 409 × 991 ) / 1
LCM(409,991) = 405319 / 1
LCM(409,991) = 405319
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 7433/409, 5529/991?
Answer: GCF of Numerators as per given numbers 7433/409, 5529/991 is
GCF of Numerators i.e. for 7433,5529 is 1
LCM of denominators i.e. for 409,991 is 405319.
Thus, GCF of Fractions is 1/405319.Finally, GCF of Fractions for 7433/409, 5529/991 is 1/405319.