Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1569/39,4493/512
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 1569,4493
Greatest Common Factor of Numerators i.e. GCF of 1569,4493 is 1 .
LCM of Denominators means LCM of 39,512 as per the given fractions.
LCM of 39,512 is 19968 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1569,4493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1569
List of positive integer factors of 1569 that divides 1569 without a remainder.
1,3,523,1569
Factors of 4493
List of positive integer factors of 4493 that divides 4493 without a remainder.
1,4493
Greatest Common Factor
We found the factors 1569,4493 . The biggest common factor number is the GCF number.
So the greatest common factor 1569,4493 is 1.
Lets's calculate LCM of 39,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 19968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19968
Therefore, the GCF of Fractions 1569/39,4493/512 is 1/19968
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 39,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,512) x common factors =1 x 1 = 1
LCM(39,512) = ( 39 × 512 ) / 1
LCM(39,512) = 19968 / 1
LCM(39,512) = 19968
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 1569/39, 4493/512?
Answer: GCF of Numerators as per given numbers 1569/39, 4493/512 is
GCF of Numerators i.e. for 1569,4493 is 1
LCM of denominators i.e. for 39,512 is 19968.
Thus, GCF of Fractions is 1/19968.Finally, GCF of Fractions for 1569/39, 4493/512 is 1/19968.