Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/427,6355/8487
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 482,6355
Greatest Common Factor of Numerators i.e. GCF of 482,6355 is 1 .
LCM of Denominators means LCM of 427,8487 as per the given fractions.
LCM of 427,8487 is 3623949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,6355
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 6355
List of positive integer factors of 6355 that divides 6355 without a remainder.
1,5,31,41,155,205,1271,6355
Greatest Common Factor
We found the factors 482,6355 . The biggest common factor number is the GCF number.
So the greatest common factor 482,6355 is 1.
Lets's calculate LCM of 427,8487
Given numbers has no common factors except 1. So, there LCM is their product i.e 3623949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3623949
Therefore, the GCF of Fractions 482/427,6355/8487 is 1/3623949
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 427,8487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,8487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,8487) x common factors =1 x 1 = 1
LCM(427,8487) = ( 427 × 8487 ) / 1
LCM(427,8487) = 3623949 / 1
LCM(427,8487) = 3623949
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 482/427, 6355/8487?
Answer: GCF of Numerators as per given numbers 482/427, 6355/8487 is
GCF of Numerators i.e. for 482,6355 is 1
LCM of denominators i.e. for 427,8487 is 3623949.
Thus, GCF of Fractions is 1/3623949.Finally, GCF of Fractions for 482/427, 6355/8487 is 1/3623949.