Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/239,8215/383
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 638,8215
Greatest Common Factor of Numerators i.e. GCF of 638,8215 is 1 .
LCM of Denominators means LCM of 239,383 as per the given fractions.
LCM of 239,383 is 91537 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 638,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 638,8215 is 1.
Lets's calculate LCM of 239,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 91537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91537
Therefore, the GCF of Fractions 638/239,8215/383 is 1/91537
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 239,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,383) x common factors =1 x 1 = 1
LCM(239,383) = ( 239 × 383 ) / 1
LCM(239,383) = 91537 / 1
LCM(239,383) = 91537
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 638/239, 8215/383?
Answer: GCF of Numerators as per given numbers 638/239, 8215/383 is
GCF of Numerators i.e. for 638,8215 is 1
LCM of denominators i.e. for 239,383 is 91537.
Thus, GCF of Fractions is 1/91537.Finally, GCF of Fractions for 638/239, 8215/383 is 1/91537.