Use our free GCF of Fractions Calculator tool to compute the GCF of 587/665, 695/909 i.e 1/604485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/665, 695/909.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/665,695/909
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 587/665,695/909, numerators are 587,695
Denominators are 665,909
The GCF of 587,695 is 1 .
LCM of 665,909 is 604485.
The greatest common factor of 587/665,695/909 = [GCF of 587,695]/[LCM of 665,909]= 1/604485
Therefore, the GCF of 587/665,695/909 is 1/604485.
To find the highest common factor of 587,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 695 are 1, 5, 139, 695
The HCF of 587,695 is 1.
Lets's calculate GCF of 587,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 587
:1,587
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 587,695 . The biggest common factor number is the GCF number.
So the greatest common factor 587,695 is 1.
Lets's calculate LCM of 665,909
Given numbers has no common factors except 1. So, there LCM is their product i.e 604485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604485
Therefore, the GCF of Fractions 587/665,695/909 is 1/604485
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 665,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,909) x common factors =1 x 1 = 1
LCM(665,909) = ( 665 × 909 ) / 1
LCM(665,909) = 604485 / 1
LCM(665,909) = 604485
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 587,695?
The HCF of 587,695 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 587/665, 695/909?
Answer: GCF of Numerators as per given numbers 587/665, 695/909 is
GCF of Numerators i.e. for 587,695 is 1
LCM of denominators i.e. for 665,909 is 604485.
Thus, GCF of Fractions is 1/604485.Finally, GCF of Fractions for 587/665, 695/909 is 1/604485.