Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9223/59,2468/559
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 9223,2468
Greatest Common Factor of Numerators i.e. GCF of 9223,2468 is 1 .
LCM of Denominators means LCM of 59,559 as per the given fractions.
LCM of 59,559 is 32981 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9223,2468
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9223
List of positive integer factors of 9223 that divides 9223 without a remainder.
1,23,401,9223
Factors of 2468
List of positive integer factors of 2468 that divides 2468 without a remainder.
1,2,4,617,1234,2468
Greatest Common Factor
We found the factors 9223,2468 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,2468 is 1.
Lets's calculate LCM of 59,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 32981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32981
Therefore, the GCF of Fractions 9223/59,2468/559 is 1/32981
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 59,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,559) x common factors =1 x 1 = 1
LCM(59,559) = ( 59 × 559 ) / 1
LCM(59,559) = 32981 / 1
LCM(59,559) = 32981
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 9223/59, 2468/559?
Answer: GCF of Numerators as per given numbers 9223/59, 2468/559 is
GCF of Numerators i.e. for 9223,2468 is 1
LCM of denominators i.e. for 59,559 is 32981.
Thus, GCF of Fractions is 1/32981.Finally, GCF of Fractions for 9223/59, 2468/559 is 1/32981.