Use our free GCF of Fractions Calculator tool to compute the GCF of 552/835, 593/501 i.e 1/2505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/835, 593/501.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 552/835,593/501
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 552/835,593/501, numerators are 552,593
Denominators are 835,501
The GCF of 552,593 is 1 .
LCM of 835,501 is 2505.
The greatest common factor of 552/835,593/501 = [GCF of 552,593]/[LCM of 835,501]= 1/2505
Therefore, the GCF of 552/835,593/501 is 1/2505.
To find the highest common factor of 552,593, 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 593 are 1, 593
The HCF of 552,593 is 1.
Lets's calculate GCF of 552,593
∴ So GCF of numbers is 1 because of no common factors present between them.
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 593
:1,593
Greatest Common Factor
We found the factors 552,593 . The biggest common factor number is the GCF number.
So the greatest common factor 552,593 is 1.
Lets's calculate LCM of 835,501
167 | 835, 501 |
5, 3 |
∴ So the LCM of the given numbers is 167 x 5 x 3 = 2505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2505
Therefore, the GCF of Fractions 552/835,593/501 is 1/2505
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 835,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,501) = 167
common factors(in case of two or more numbers have common factors) = 1
GCF(835,501) x common factors =167 x 1 = 167
LCM(835,501) = ( 835 × 501 ) / 167
LCM(835,501) = 418335 / 167
LCM(835,501) = 2505
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 552,593?
The HCF of 552,593 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 552/835, 593/501?
Answer: GCF of Numerators as per given numbers 552/835, 593/501 is
GCF of Numerators i.e. for 552,593 is 1
LCM of denominators i.e. for 835,501 is 2505.
Thus, GCF of Fractions is 1/2505.Finally, GCF of Fractions for 552/835, 593/501 is 1/2505.