Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/881,3336/869
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 390,3336
Greatest Common Factor of Numerators i.e. GCF of 390,3336 is 6 .
LCM of Denominators means LCM of 881,869 as per the given fractions.
LCM of 881,869 is 765589 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,3336
2 | 390, 3336 |
3 | 195, 1668 |
65, 556 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 3336
List of positive integer factors of 3336 that divides 3336 without a remainder.
1,2,3,4,6,8,12,24,139,278,417,556,834,1112,1668,3336
Greatest Common Factor
We found the factors 390,3336 . The biggest common factor number is the GCF number.
So the greatest common factor 390,3336 is 6.
Lets's calculate LCM of 881,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 765589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/765589
Therefore, the GCF of Fractions 390/881,3336/869 is 6/765589
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 881,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,869) x common factors =1 x 1 = 1
LCM(881,869) = ( 881 × 869 ) / 1
LCM(881,869) = 765589 / 1
LCM(881,869) = 765589
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 390/881, 3336/869?
Answer: GCF of Numerators as per given numbers 390/881, 3336/869 is
GCF of Numerators i.e. for 390,3336 is 6
LCM of denominators i.e. for 881,869 is 765589.
Thus, GCF of Fractions is 6/765589.Finally, GCF of Fractions for 390/881, 3336/869 is 6/765589.