Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/649,318/338,891/386
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 369,318,891
Greatest Common Factor of Numerators i.e. GCF of 369,318,891 is 3 .
LCM of Denominators means LCM of 649,338,386 as per the given fractions.
LCM of 649,338,386 is 42336866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 369,318,891
3 | 369, 318, 891 |
123, 106, 297 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 369,318,891 . The biggest common factor number is the GCF number.
So the greatest common factor 369,318,891 is 3.
Lets's calculate LCM of 649,338,386
2 | 649, 338, 386 |
649, 169, 193 |
∴ So the LCM of the given numbers is 2 x 649 x 169 x 193 = 42336866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42336866
Therefore, the GCF of Fractions 369/649,318/338,891/386 is 3/42336866
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 649,338,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,338,386) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(649,338,386) x common factors =1 x 2 = 2
LCM(649,338,386) = ( 649 × 338 × 386 ) / 2
LCM(649,338,386) = 84673732 / 2
LCM(649,338,386) = 42336866
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 369/649, 318/338, 891/386?
Answer: GCF of Numerators as per given numbers 369/649, 318/338, 891/386 is
GCF of Numerators i.e. for 369,318,891 is 3
LCM of denominators i.e. for 649,338,386 is 42336866.
Thus, GCF of Fractions is 3/42336866.Finally, GCF of Fractions for 369/649, 318/338, 891/386 is 3/42336866.