Use our free GCF of Fractions Calculator tool to compute the GCF of 85/741, 59/677 i.e 1/501657 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/741, 59/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/741,59/677
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 85/741,59/677, numerators are 85,59
Denominators are 741,677
The GCF of 85,59 is 1 .
LCM of 741,677 is 501657.
The greatest common factor of 85/741,59/677 = [GCF of 85,59]/[LCM of 741,677]= 1/501657
Therefore, the GCF of 85/741,59/677 is 1/501657.
To find the highest common factor of 85,59, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 59 are 1, 59
The HCF of 85,59 is 1.
Lets's calculate GCF of 85,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 741,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 501657
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501657
Therefore, the GCF of Fractions 85/741,59/677 is 1/501657
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 741,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,677) x common factors =1 x 1 = 1
LCM(741,677) = ( 741 × 677 ) / 1
LCM(741,677) = 501657 / 1
LCM(741,677) = 501657
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 85,59?
The HCF of 85,59 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 85/741, 59/677?
Answer: GCF of Numerators as per given numbers 85/741, 59/677 is
GCF of Numerators i.e. for 85,59 is 1
LCM of denominators i.e. for 741,677 is 501657.
Thus, GCF of Fractions is 1/501657.Finally, GCF of Fractions for 85/741, 59/677 is 1/501657.