Use our free GCF of Fractions Calculator tool to compute the GCF of 981/627, 523/734 i.e 1/460218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/627, 523/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 981/627,523/734
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 981/627,523/734, numerators are 981,523
Denominators are 627,734
The GCF of 981,523 is 1 .
LCM of 627,734 is 460218.
The greatest common factor of 981/627,523/734 = [GCF of 981,523]/[LCM of 627,734]= 1/460218
Therefore, the GCF of 981/627,523/734 is 1/460218.
To find the highest common factor of 981,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 981 are 1, 3, 9, 109, 327, 981
The factors of 523 are 1, 523
The HCF of 981,523 is 1.
Lets's calculate GCF of 981,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 981
:1,3,9,109,327,981
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 981,523 . The biggest common factor number is the GCF number.
So the greatest common factor 981,523 is 1.
Lets's calculate LCM of 627,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 460218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/460218
Therefore, the GCF of Fractions 981/627,523/734 is 1/460218
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 627,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,734) x common factors =1 x 1 = 1
LCM(627,734) = ( 627 × 734 ) / 1
LCM(627,734) = 460218 / 1
LCM(627,734) = 460218
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 981,523?
The HCF of 981,523 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 981/627, 523/734?
Answer: GCF of Numerators as per given numbers 981/627, 523/734 is
GCF of Numerators i.e. for 981,523 is 1
LCM of denominators i.e. for 627,734 is 460218.
Thus, GCF of Fractions is 1/460218.Finally, GCF of Fractions for 981/627, 523/734 is 1/460218.