Use our free GCF of Fractions Calculator tool to compute the GCF of 507/388, 428/918 i.e 1/178092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/388, 428/918.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/388,428/918
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 507/388,428/918, numerators are 507,428
Denominators are 388,918
The GCF of 507,428 is 1 .
LCM of 388,918 is 178092.
The greatest common factor of 507/388,428/918 = [GCF of 507,428]/[LCM of 388,918]= 1/178092
Therefore, the GCF of 507/388,428/918 is 1/178092.
To find the highest common factor of 507,428, 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 428 are 1, 2, 4, 107, 214, 428
The HCF of 507,428 is 1.
Lets's calculate GCF of 507,428
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 507
:1,3,13,39,169,507
Now, list down the factors of 428
:1,2,4,107,214,428
Greatest Common Factor
We found the factors 507,428 . The biggest common factor number is the GCF number.
So the greatest common factor 507,428 is 1.
Lets's calculate LCM of 388,918
2 | 388, 918 |
194, 459 |
∴ So the LCM of the given numbers is 2 x 194 x 459 = 178092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178092
Therefore, the GCF of Fractions 507/388,428/918 is 1/178092
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 388,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(388,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(388,918) x common factors =2 x 1 = 2
LCM(388,918) = ( 388 × 918 ) / 2
LCM(388,918) = 356184 / 2
LCM(388,918) = 178092
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 507,428?
The HCF of 507,428 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 507/388, 428/918?
Answer: GCF of Numerators as per given numbers 507/388, 428/918 is
GCF of Numerators i.e. for 507,428 is 1
LCM of denominators i.e. for 388,918 is 178092.
Thus, GCF of Fractions is 1/178092.Finally, GCF of Fractions for 507/388, 428/918 is 1/178092.