Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 256/504,4112/860
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 256,4112
Greatest Common Factor of Numerators i.e. GCF of 256,4112 is 16 .
LCM of Denominators means LCM of 504,860 as per the given fractions.
LCM of 504,860 is 108360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 256,4112
2 | 256, 4112 |
2 | 128, 2056 |
2 | 64, 1028 |
2 | 32, 514 |
16, 257 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 4112
List of positive integer factors of 4112 that divides 4112 without a remainder.
1,2,4,8,16,257,514,1028,2056,4112
Greatest Common Factor
We found the factors 256,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 256,4112 is 16.
Lets's calculate LCM of 504,860
2 | 504, 860 |
2 | 252, 430 |
126, 215 |
∴ So the LCM of the given numbers is 2 x 2 x 126 x 215 = 108360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/108360
Therefore, the GCF of Fractions 256/504,4112/860 is 16/108360
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 504,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,860) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(504,860) x common factors =4 x 1 = 4
LCM(504,860) = ( 504 × 860 ) / 4
LCM(504,860) = 433440 / 4
LCM(504,860) = 108360
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 256/504, 4112/860?
Answer: GCF of Numerators as per given numbers 256/504, 4112/860 is
GCF of Numerators i.e. for 256,4112 is 16
LCM of denominators i.e. for 504,860 is 108360.
Thus, GCF of Fractions is 16/108360.Finally, GCF of Fractions for 256/504, 4112/860 is 16/108360.