Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/513,8221/483
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 187,8221
Greatest Common Factor of Numerators i.e. GCF of 187,8221 is 1 .
LCM of Denominators means LCM of 513,483 as per the given fractions.
LCM of 513,483 is 82593 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,8221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 8221
List of positive integer factors of 8221 that divides 8221 without a remainder.
1,8221
Greatest Common Factor
We found the factors 187,8221 . The biggest common factor number is the GCF number.
So the greatest common factor 187,8221 is 1.
Lets's calculate LCM of 513,483
3 | 513, 483 |
171, 161 |
∴ So the LCM of the given numbers is 3 x 171 x 161 = 82593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82593
Therefore, the GCF of Fractions 187/513,8221/483 is 1/82593
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 513,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,483) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,483) x common factors =3 x 1 = 3
LCM(513,483) = ( 513 × 483 ) / 3
LCM(513,483) = 247779 / 3
LCM(513,483) = 82593
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 187/513, 8221/483?
Answer: GCF of Numerators as per given numbers 187/513, 8221/483 is
GCF of Numerators i.e. for 187,8221 is 1
LCM of denominators i.e. for 513,483 is 82593.
Thus, GCF of Fractions is 1/82593.Finally, GCF of Fractions for 187/513, 8221/483 is 1/82593.