Use our free GCF of Fractions Calculator tool to compute the GCF of 46/57, 256/43, 182/485 i.e 2/1188735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/57, 256/43, 182/485.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/57,256/43,182/485
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 46/57,256/43,182/485, numerators are 46,256,182
Denominators are 57,43,485
The GCF of 46,256,182 is 2 .
LCM of 57,43,485 is 1188735.
The greatest common factor of 46/57,256/43,182/485 = [GCF of 46,256,182]/[LCM of 57,43,485]= 2/1188735
Therefore, the GCF of 46/57,256/43,182/485 is 2/1188735.
To find the highest common factor of 46,256,182, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 46,256,182 is 2.
Lets's calculate GCF of 46,256,182
2 | 46, 256, 182 |
23, 128, 91 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 46,256,182 . The biggest common factor number is the GCF number.
So the greatest common factor 46,256,182 is 2.
Lets's calculate LCM of 57,43,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1188735
Therefore, the GCF of Fractions 46/57,256/43,182/485 is 2/1188735
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 57,43,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,43,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,43,485) x common factors =1 x 1 = 1
LCM(57,43,485) = ( 57 × 43 × 485 ) / 1
LCM(57,43,485) = 1188735 / 1
LCM(57,43,485) = 1188735
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,256,182?
The HCF of 46,256,182 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 46/57, 256/43, 182/485?
Answer: GCF of Numerators as per given numbers 46/57, 256/43, 182/485 is
GCF of Numerators i.e. for 46,256,182 is 2
LCM of denominators i.e. for 57,43,485 is 1188735.
Thus, GCF of Fractions is 2/1188735.Finally, GCF of Fractions for 46/57, 256/43, 182/485 is 2/1188735.