Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/45,533/4454
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 965,533
Greatest Common Factor of Numerators i.e. GCF of 965,533 is 1 .
LCM of Denominators means LCM of 45,4454 as per the given fractions.
LCM of 45,4454 is 200430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Greatest Common Factor
We found the factors 965,533 . The biggest common factor number is the GCF number.
So the greatest common factor 965,533 is 1.
Lets's calculate LCM of 45,4454
Given numbers has no common factors except 1. So, there LCM is their product i.e 200430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200430
Therefore, the GCF of Fractions 965/45,533/4454 is 1/200430
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 45,4454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,4454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,4454) x common factors =1 x 1 = 1
LCM(45,4454) = ( 45 × 4454 ) / 1
LCM(45,4454) = 200430 / 1
LCM(45,4454) = 200430
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 965/45, 533/4454?
Answer: GCF of Numerators as per given numbers 965/45, 533/4454 is
GCF of Numerators i.e. for 965,533 is 1
LCM of denominators i.e. for 45,4454 is 200430.
Thus, GCF of Fractions is 1/200430.Finally, GCF of Fractions for 965/45, 533/4454 is 1/200430.