Use our free GCF of Fractions Calculator tool to compute the GCF of 127/307, 538/516 i.e 1/158412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 127/307, 538/516.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 127/307,538/516
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 127/307,538/516, numerators are 127,538
Denominators are 307,516
The GCF of 127,538 is 1 .
LCM of 307,516 is 158412.
The greatest common factor of 127/307,538/516 = [GCF of 127,538]/[LCM of 307,516]= 1/158412
Therefore, the GCF of 127/307,538/516 is 1/158412.
To find the highest common factor of 127,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 127 are 1, 127
The factors of 538 are 1, 2, 269, 538
The HCF of 127,538 is 1.
Lets's calculate GCF of 127,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 127
:1,127
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 127,538 . The biggest common factor number is the GCF number.
So the greatest common factor 127,538 is 1.
Lets's calculate LCM of 307,516
Given numbers has no common factors except 1. So, there LCM is their product i.e 158412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158412
Therefore, the GCF of Fractions 127/307,538/516 is 1/158412
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 307,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,516) x common factors =1 x 1 = 1
LCM(307,516) = ( 307 × 516 ) / 1
LCM(307,516) = 158412 / 1
LCM(307,516) = 158412
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 127,538?
The HCF of 127,538 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 127/307, 538/516?
Answer: GCF of Numerators as per given numbers 127/307, 538/516 is
GCF of Numerators i.e. for 127,538 is 1
LCM of denominators i.e. for 307,516 is 158412.
Thus, GCF of Fractions is 1/158412.Finally, GCF of Fractions for 127/307, 538/516 is 1/158412.