Use our free GCF of Fractions Calculator tool to compute the GCF of 307/438, 611/815 i.e 1/356970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/438, 611/815.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 307/438,611/815
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 307/438,611/815, numerators are 307,611
Denominators are 438,815
The GCF of 307,611 is 1 .
LCM of 438,815 is 356970.
The greatest common factor of 307/438,611/815 = [GCF of 307,611]/[LCM of 438,815]= 1/356970
Therefore, the GCF of 307/438,611/815 is 1/356970.
To find the highest common factor of 307,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 307 are 1, 307
The factors of 611 are 1, 13, 47, 611
The HCF of 307,611 is 1.
Lets's calculate GCF of 307,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 307
:1,307
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 307,611 . The biggest common factor number is the GCF number.
So the greatest common factor 307,611 is 1.
Lets's calculate LCM of 438,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 356970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356970
Therefore, the GCF of Fractions 307/438,611/815 is 1/356970
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 438,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,815) x common factors =1 x 1 = 1
LCM(438,815) = ( 438 × 815 ) / 1
LCM(438,815) = 356970 / 1
LCM(438,815) = 356970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 307,611?
The HCF of 307,611 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 307/438, 611/815?
Answer: GCF of Numerators as per given numbers 307/438, 611/815 is
GCF of Numerators i.e. for 307,611 is 1
LCM of denominators i.e. for 438,815 is 356970.
Thus, GCF of Fractions is 1/356970.Finally, GCF of Fractions for 307/438, 611/815 is 1/356970.