Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/64,322/38,137/331
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 839,322,137
Greatest Common Factor of Numerators i.e. GCF of 839,322,137 is 1 .
LCM of Denominators means LCM of 64,38,331 as per the given fractions.
LCM of 64,38,331 is 402496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 839,322,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 839,322,137 . The biggest common factor number is the GCF number.
So the greatest common factor 839,322,137 is 1.
Lets's calculate LCM of 64,38,331
2 | 64, 38, 331 |
32, 19, 331 |
∴ So the LCM of the given numbers is 2 x 32 x 19 x 331 = 402496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402496
Therefore, the GCF of Fractions 839/64,322/38,137/331 is 1/402496
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 64,38,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,38,331) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,38,331) x common factors =1 x 2 = 2
LCM(64,38,331) = ( 64 × 38 × 331 ) / 2
LCM(64,38,331) = 804992 / 2
LCM(64,38,331) = 402496
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 839/64, 322/38, 137/331?
Answer: GCF of Numerators as per given numbers 839/64, 322/38, 137/331 is
GCF of Numerators i.e. for 839,322,137 is 1
LCM of denominators i.e. for 64,38,331 is 402496.
Thus, GCF of Fractions is 1/402496.Finally, GCF of Fractions for 839/64, 322/38, 137/331 is 1/402496.