Use our free GCF of Fractions Calculator tool to compute the GCF of 183/64, 445/2932 i.e 1/46912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 183/64, 445/2932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/64,445/2932
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 183/64,445/2932, numerators are 183,445
Denominators are 64,2932
The GCF of 183,445 is 1 .
LCM of 64,2932 is 46912.
The greatest common factor of 183/64,445/2932 = [GCF of 183,445]/[LCM of 64,2932]= 1/46912
Therefore, the GCF of 183/64,445/2932 is 1/46912.
To find the highest common factor of 183,445, we have to find the factors of both numbers and list the highest common factor.
The factors of 183 are 1, 3, 61, 183
The factors of 445 are 1, 5, 89, 445
The HCF of 183,445 is 1.
Lets's calculate GCF of 183,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 183
:1,3,61,183
Now, list down the factors of 445
:1,5,89,445
Greatest Common Factor
We found the factors 183,445 . The biggest common factor number is the GCF number.
So the greatest common factor 183,445 is 1.
Lets's calculate LCM of 64,2932
2 | 64, 2932 |
2 | 32, 1466 |
16, 733 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 733 = 46912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46912
Therefore, the GCF of Fractions 183/64,445/2932 is 1/46912
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 64,2932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,2932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,2932) x common factors =4 x 1 = 4
LCM(64,2932) = ( 64 × 2932 ) / 4
LCM(64,2932) = 187648 / 4
LCM(64,2932) = 46912
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 183,445?
The HCF of 183,445 is 1
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 183/64, 445/2932?
Answer: GCF of Numerators as per given numbers 183/64, 445/2932 is
GCF of Numerators i.e. for 183,445 is 1
LCM of denominators i.e. for 64,2932 is 46912.
Thus, GCF of Fractions is 1/46912.Finally, GCF of Fractions for 183/64, 445/2932 is 1/46912.