Use our free GCF of Fractions Calculator tool to compute the GCF of 507/869, 308/775 i.e 1/673475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/869, 308/775.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/869,308/775
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 507/869,308/775, numerators are 507,308
Denominators are 869,775
The GCF of 507,308 is 1 .
LCM of 869,775 is 673475.
The greatest common factor of 507/869,308/775 = [GCF of 507,308]/[LCM of 869,775]= 1/673475
Therefore, the GCF of 507/869,308/775 is 1/673475.
To find the highest common factor of 507,308, 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 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 507,308 is 1.
Lets's calculate GCF of 507,308
∴ 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 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 507,308 . The biggest common factor number is the GCF number.
So the greatest common factor 507,308 is 1.
Lets's calculate LCM of 869,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 673475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673475
Therefore, the GCF of Fractions 507/869,308/775 is 1/673475
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 869,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,775) x common factors =1 x 1 = 1
LCM(869,775) = ( 869 × 775 ) / 1
LCM(869,775) = 673475 / 1
LCM(869,775) = 673475
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 507,308?
The HCF of 507,308 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 507/869, 308/775?
Answer: GCF of Numerators as per given numbers 507/869, 308/775 is
GCF of Numerators i.e. for 507,308 is 1
LCM of denominators i.e. for 869,775 is 673475.
Thus, GCF of Fractions is 1/673475.Finally, GCF of Fractions for 507/869, 308/775 is 1/673475.