Use our free GCF of Fractions Calculator tool to compute the GCF of 983/931, 655/593 i.e 1/552083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/931, 655/593.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/931,655/593
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 983/931,655/593, numerators are 983,655
Denominators are 931,593
The GCF of 983,655 is 1 .
LCM of 931,593 is 552083.
The greatest common factor of 983/931,655/593 = [GCF of 983,655]/[LCM of 931,593]= 1/552083
Therefore, the GCF of 983/931,655/593 is 1/552083.
To find the highest common factor of 983,655, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 655 are 1, 5, 131, 655
The HCF of 983,655 is 1.
Lets's calculate GCF of 983,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 983
:1,983
Now, list down the factors of 655
:1,5,131,655
Greatest Common Factor
We found the factors 983,655 . The biggest common factor number is the GCF number.
So the greatest common factor 983,655 is 1.
Lets's calculate LCM of 931,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 552083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552083
Therefore, the GCF of Fractions 983/931,655/593 is 1/552083
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 931,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,593) x common factors =1 x 1 = 1
LCM(931,593) = ( 931 × 593 ) / 1
LCM(931,593) = 552083 / 1
LCM(931,593) = 552083
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 983,655?
The HCF of 983,655 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 983/931, 655/593?
Answer: GCF of Numerators as per given numbers 983/931, 655/593 is
GCF of Numerators i.e. for 983,655 is 1
LCM of denominators i.e. for 931,593 is 552083.
Thus, GCF of Fractions is 1/552083.Finally, GCF of Fractions for 983/931, 655/593 is 1/552083.