Use our free GCF of Fractions Calculator tool to compute the GCF of 507/33, 531/9080 i.e 3/299640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/33, 531/9080.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/33,531/9080
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 507/33,531/9080, numerators are 507,531
Denominators are 33,9080
The GCF of 507,531 is 3 .
LCM of 33,9080 is 299640.
The greatest common factor of 507/33,531/9080 = [GCF of 507,531]/[LCM of 33,9080]= 3/299640
Therefore, the GCF of 507/33,531/9080 is 3/299640.
To find the highest common factor of 507,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 507 are 1, 3, 13, 39, 169, 507
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 507,531 is 3.
Lets's calculate GCF of 507,531
3 | 507, 531 |
169, 177 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 507
:1,3,13,39,169,507
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 507,531 . The biggest common factor number is the GCF number.
So the greatest common factor 507,531 is 3.
Lets's calculate LCM of 33,9080
Given numbers has no common factors except 1. So, there LCM is their product i.e 299640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/299640
Therefore, the GCF of Fractions 507/33,531/9080 is 3/299640
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 33,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,9080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,9080) x common factors =1 x 1 = 1
LCM(33,9080) = ( 33 × 9080 ) / 1
LCM(33,9080) = 299640 / 1
LCM(33,9080) = 299640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 507,531?
The HCF of 507,531 is 3
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 507/33, 531/9080?
Answer: GCF of Numerators as per given numbers 507/33, 531/9080 is
GCF of Numerators i.e. for 507,531 is 3
LCM of denominators i.e. for 33,9080 is 299640.
Thus, GCF of Fractions is 3/299640.Finally, GCF of Fractions for 507/33, 531/9080 is 3/299640.