Use our free GCF of Fractions Calculator tool to compute the GCF of 552/433, 136/452 i.e 8/195716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/433, 136/452.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/433,136/452
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 552/433,136/452, numerators are 552,136
Denominators are 433,452
The GCF of 552,136 is 8 .
LCM of 433,452 is 195716.
The greatest common factor of 552/433,136/452 = [GCF of 552,136]/[LCM of 433,452]= 8/195716
Therefore, the GCF of 552/433,136/452 is 8/195716.
To find the highest common factor of 552,136, we have to find the factors of both numbers and list the highest common factor.
The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
The factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136
The HCF of 552,136 is 8.
Lets's calculate GCF of 552,136
2 | 552, 136 |
2 | 276, 68 |
2 | 138, 34 |
69, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 552
:1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Now, list down the factors of 136
:1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 552,136 . The biggest common factor number is the GCF number.
So the greatest common factor 552,136 is 8.
Lets's calculate LCM of 433,452
Given numbers has no common factors except 1. So, there LCM is their product i.e 195716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/195716
Therefore, the GCF of Fractions 552/433,136/452 is 8/195716
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 433,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,452) x common factors =1 x 1 = 1
LCM(433,452) = ( 433 × 452 ) / 1
LCM(433,452) = 195716 / 1
LCM(433,452) = 195716
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 552,136?
The HCF of 552,136 is 8
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 552/433, 136/452?
Answer: GCF of Numerators as per given numbers 552/433, 136/452 is
GCF of Numerators i.e. for 552,136 is 8
LCM of denominators i.e. for 433,452 is 195716.
Thus, GCF of Fractions is 8/195716.Finally, GCF of Fractions for 552/433, 136/452 is 8/195716.