Use our free GCF of Fractions Calculator tool to compute the GCF of 63/27, 785/58, 131/625 i.e 1/978750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/27, 785/58, 131/625.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/27,785/58,131/625
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 63/27,785/58,131/625, numerators are 63,785,131
Denominators are 27,58,625
The GCF of 63,785,131 is 1 .
LCM of 27,58,625 is 978750.
The greatest common factor of 63/27,785/58,131/625 = [GCF of 63,785,131]/[LCM of 27,58,625]= 1/978750
Therefore, the GCF of 63/27,785/58,131/625 is 1/978750.
To find the highest common factor of 63,785,131, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 785 are 1, 5, 157, 785
The factors of 131 are 1, 131
The HCF of 63,785,131 is 1.
Lets's calculate GCF of 63,785,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 785
:1,5,157,785
Now, list down the factors of 131
:1,131
Greatest Common Factor
We found the factors 63,785,131 . The biggest common factor number is the GCF number.
So the greatest common factor 63,785,131 is 1.
Lets's calculate LCM of 27,58,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 978750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/978750
Therefore, the GCF of Fractions 63/27,785/58,131/625 is 1/978750
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 27,58,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,58,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,58,625) x common factors =1 x 1 = 1
LCM(27,58,625) = ( 27 × 58 × 625 ) / 1
LCM(27,58,625) = 978750 / 1
LCM(27,58,625) = 978750
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,785,131?
The HCF of 63,785,131 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 63/27, 785/58, 131/625?
Answer: GCF of Numerators as per given numbers 63/27, 785/58, 131/625 is
GCF of Numerators i.e. for 63,785,131 is 1
LCM of denominators i.e. for 27,58,625 is 978750.
Thus, GCF of Fractions is 1/978750.Finally, GCF of Fractions for 63/27, 785/58, 131/625 is 1/978750.