Use our free GCF of Fractions Calculator tool to compute the GCF of 132/344, 533/580 i.e 1/49880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/344, 533/580.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/344,533/580
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 132/344,533/580, numerators are 132,533
Denominators are 344,580
The GCF of 132,533 is 1 .
LCM of 344,580 is 49880.
The greatest common factor of 132/344,533/580 = [GCF of 132,533]/[LCM of 344,580]= 1/49880
Therefore, the GCF of 132/344,533/580 is 1/49880.
To find the highest common factor of 132,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The factors of 533 are 1, 13, 41, 533
The HCF of 132,533 is 1.
Lets's calculate GCF of 132,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 132,533 . The biggest common factor number is the GCF number.
So the greatest common factor 132,533 is 1.
Lets's calculate LCM of 344,580
2 | 344, 580 |
2 | 172, 290 |
86, 145 |
∴ So the LCM of the given numbers is 2 x 2 x 86 x 145 = 49880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49880
Therefore, the GCF of Fractions 132/344,533/580 is 1/49880
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 344,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(344,580) x common factors =4 x 1 = 4
LCM(344,580) = ( 344 × 580 ) / 4
LCM(344,580) = 199520 / 4
LCM(344,580) = 49880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,533?
The HCF of 132,533 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 132/344, 533/580?
Answer: GCF of Numerators as per given numbers 132/344, 533/580 is
GCF of Numerators i.e. for 132,533 is 1
LCM of denominators i.e. for 344,580 is 49880.
Thus, GCF of Fractions is 1/49880.Finally, GCF of Fractions for 132/344, 533/580 is 1/49880.