Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 863/638,315/489
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 863,315
Greatest Common Factor of Numerators i.e. GCF of 863,315 is 1 .
LCM of Denominators means LCM of 638,489 as per the given fractions.
LCM of 638,489 is 311982 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 863,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 863,315 . The biggest common factor number is the GCF number.
So the greatest common factor 863,315 is 1.
Lets's calculate LCM of 638,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 311982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311982
Therefore, the GCF of Fractions 863/638,315/489 is 1/311982
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 638,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,489) x common factors =1 x 1 = 1
LCM(638,489) = ( 638 × 489 ) / 1
LCM(638,489) = 311982 / 1
LCM(638,489) = 311982
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 863/638, 315/489?
Answer: GCF of Numerators as per given numbers 863/638, 315/489 is
GCF of Numerators i.e. for 863,315 is 1
LCM of denominators i.e. for 638,489 is 311982.
Thus, GCF of Fractions is 1/311982.Finally, GCF of Fractions for 863/638, 315/489 is 1/311982.