Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/47,849/3465
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 394,849
Greatest Common Factor of Numerators i.e. GCF of 394,849 is 1 .
LCM of Denominators means LCM of 47,3465 as per the given fractions.
LCM of 47,3465 is 162855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 394,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 394,849 . The biggest common factor number is the GCF number.
So the greatest common factor 394,849 is 1.
Lets's calculate LCM of 47,3465
Given numbers has no common factors except 1. So, there LCM is their product i.e 162855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162855
Therefore, the GCF of Fractions 394/47,849/3465 is 1/162855
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 47,3465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,3465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,3465) x common factors =1 x 1 = 1
LCM(47,3465) = ( 47 × 3465 ) / 1
LCM(47,3465) = 162855 / 1
LCM(47,3465) = 162855
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 394/47, 849/3465?
Answer: GCF of Numerators as per given numbers 394/47, 849/3465 is
GCF of Numerators i.e. for 394,849 is 1
LCM of denominators i.e. for 47,3465 is 162855.
Thus, GCF of Fractions is 1/162855.Finally, GCF of Fractions for 394/47, 849/3465 is 1/162855.