Use our free GCF of Fractions Calculator tool to compute the GCF of 132/405, 627/988 i.e 33/400140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 132/405, 627/988.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 132/405,627/988
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 132/405,627/988, numerators are 132,627
Denominators are 405,988
The GCF of 132,627 is 33 .
LCM of 405,988 is 400140.
The greatest common factor of 132/405,627/988 = [GCF of 132,627]/[LCM of 405,988]= 33/400140
Therefore, the GCF of 132/405,627/988 is 33/400140.
To find the highest common factor of 132,627, 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 627 are 1, 3, 11, 19, 33, 57, 209, 627
The HCF of 132,627 is 33.
Lets's calculate GCF of 132,627
3 | 132, 627 |
11 | 44, 209 |
4, 19 |
∴ So the GCF of the given numbers is 3 x 11 = 33
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 627
:1,3,11,19,33,57,209,627
Greatest Common Factor
We found the factors 132,627 . The biggest common factor number is the GCF number.
So the greatest common factor 132,627 is 33.
Lets's calculate LCM of 405,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 400140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/400140
Therefore, the GCF of Fractions 132/405,627/988 is 33/400140
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 405,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,988) x common factors =1 x 1 = 1
LCM(405,988) = ( 405 × 988 ) / 1
LCM(405,988) = 400140 / 1
LCM(405,988) = 400140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 132,627?
The HCF of 132,627 is 33
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 132/405, 627/988?
Answer: GCF of Numerators as per given numbers 132/405, 627/988 is
GCF of Numerators i.e. for 132,627 is 33
LCM of denominators i.e. for 405,988 is 400140.
Thus, GCF of Fractions is 33/400140.Finally, GCF of Fractions for 132/405, 627/988 is 33/400140.