Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/315,8219/660
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 766,8219
Greatest Common Factor of Numerators i.e. GCF of 766,8219 is 1 .
LCM of Denominators means LCM of 315,660 as per the given fractions.
LCM of 315,660 is 13860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 766,8219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 8219
List of positive integer factors of 8219 that divides 8219 without a remainder.
1,8219
Greatest Common Factor
We found the factors 766,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 766,8219 is 1.
Lets's calculate LCM of 315,660
3 | 315, 660 |
5 | 105, 220 |
21, 44 |
∴ So the LCM of the given numbers is 3 x 5 x 21 x 44 = 13860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13860
Therefore, the GCF of Fractions 766/315,8219/660 is 1/13860
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 315,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,660) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(315,660) x common factors =15 x 1 = 15
LCM(315,660) = ( 315 × 660 ) / 15
LCM(315,660) = 207900 / 15
LCM(315,660) = 13860
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 766/315, 8219/660?
Answer: GCF of Numerators as per given numbers 766/315, 8219/660 is
GCF of Numerators i.e. for 766,8219 is 1
LCM of denominators i.e. for 315,660 is 13860.
Thus, GCF of Fractions is 1/13860.Finally, GCF of Fractions for 766/315, 8219/660 is 1/13860.