Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 464/124,3904/646
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 464,3904
Greatest Common Factor of Numerators i.e. GCF of 464,3904 is 16 .
LCM of Denominators means LCM of 124,646 as per the given fractions.
LCM of 124,646 is 40052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 464,3904
2 | 464, 3904 |
2 | 232, 1952 |
2 | 116, 976 |
2 | 58, 488 |
29, 244 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 3904
List of positive integer factors of 3904 that divides 3904 without a remainder.
1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Greatest Common Factor
We found the factors 464,3904 . The biggest common factor number is the GCF number.
So the greatest common factor 464,3904 is 16.
Lets's calculate LCM of 124,646
2 | 124, 646 |
62, 323 |
∴ So the LCM of the given numbers is 2 x 62 x 323 = 40052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/40052
Therefore, the GCF of Fractions 464/124,3904/646 is 16/40052
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 124,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,646) x common factors =2 x 1 = 2
LCM(124,646) = ( 124 × 646 ) / 2
LCM(124,646) = 80104 / 2
LCM(124,646) = 40052
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 464/124, 3904/646?
Answer: GCF of Numerators as per given numbers 464/124, 3904/646 is
GCF of Numerators i.e. for 464,3904 is 16
LCM of denominators i.e. for 124,646 is 40052.
Thus, GCF of Fractions is 16/40052.Finally, GCF of Fractions for 464/124, 3904/646 is 16/40052.