Use our free GCF of Fractions Calculator tool to compute the GCF of 507/44, 164/1557 i.e 1/68508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 507/44, 164/1557.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 507/44,164/1557
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 507/44,164/1557, numerators are 507,164
Denominators are 44,1557
The GCF of 507,164 is 1 .
LCM of 44,1557 is 68508.
The greatest common factor of 507/44,164/1557 = [GCF of 507,164]/[LCM of 44,1557]= 1/68508
Therefore, the GCF of 507/44,164/1557 is 1/68508.
To find the highest common factor of 507,164, 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 164 are 1, 2, 4, 41, 82, 164
The HCF of 507,164 is 1.
Lets's calculate GCF of 507,164
∴ 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 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 507,164 . The biggest common factor number is the GCF number.
So the greatest common factor 507,164 is 1.
Lets's calculate LCM of 44,1557
Given numbers has no common factors except 1. So, there LCM is their product i.e 68508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68508
Therefore, the GCF of Fractions 507/44,164/1557 is 1/68508
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 44,1557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,1557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,1557) x common factors =1 x 1 = 1
LCM(44,1557) = ( 44 × 1557 ) / 1
LCM(44,1557) = 68508 / 1
LCM(44,1557) = 68508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 507,164?
The HCF of 507,164 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 507/44, 164/1557?
Answer: GCF of Numerators as per given numbers 507/44, 164/1557 is
GCF of Numerators i.e. for 507,164 is 1
LCM of denominators i.e. for 44,1557 is 68508.
Thus, GCF of Fractions is 1/68508.Finally, GCF of Fractions for 507/44, 164/1557 is 1/68508.