Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7559/269,9369/3212
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 7559,9369
Greatest Common Factor of Numerators i.e. GCF of 7559,9369 is 1 .
LCM of Denominators means LCM of 269,3212 as per the given fractions.
LCM of 269,3212 is 864028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7559,9369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7559
List of positive integer factors of 7559 that divides 7559 without a remainder.
1,7559
Factors of 9369
List of positive integer factors of 9369 that divides 9369 without a remainder.
1,3,9,27,347,1041,3123,9369
Greatest Common Factor
We found the factors 7559,9369 . The biggest common factor number is the GCF number.
So the greatest common factor 7559,9369 is 1.
Lets's calculate LCM of 269,3212
Given numbers has no common factors except 1. So, there LCM is their product i.e 864028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/864028
Therefore, the GCF of Fractions 7559/269,9369/3212 is 1/864028
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 269,3212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,3212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,3212) x common factors =1 x 1 = 1
LCM(269,3212) = ( 269 × 3212 ) / 1
LCM(269,3212) = 864028 / 1
LCM(269,3212) = 864028
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 7559/269, 9369/3212?
Answer: GCF of Numerators as per given numbers 7559/269, 9369/3212 is
GCF of Numerators i.e. for 7559,9369 is 1
LCM of denominators i.e. for 269,3212 is 864028.
Thus, GCF of Fractions is 1/864028.Finally, GCF of Fractions for 7559/269, 9369/3212 is 1/864028.