Use our free GCF of Fractions Calculator tool to compute the GCF of 591/398, 653/918 i.e 1/182682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/398, 653/918.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/398,653/918
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 591/398,653/918, numerators are 591,653
Denominators are 398,918
The GCF of 591,653 is 1 .
LCM of 398,918 is 182682.
The greatest common factor of 591/398,653/918 = [GCF of 591,653]/[LCM of 398,918]= 1/182682
Therefore, the GCF of 591/398,653/918 is 1/182682.
To find the highest common factor of 591,653, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 653 are 1, 653
The HCF of 591,653 is 1.
Lets's calculate GCF of 591,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 653
:1,653
Greatest Common Factor
We found the factors 591,653 . The biggest common factor number is the GCF number.
So the greatest common factor 591,653 is 1.
Lets's calculate LCM of 398,918
2 | 398, 918 |
199, 459 |
∴ So the LCM of the given numbers is 2 x 199 x 459 = 182682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182682
Therefore, the GCF of Fractions 591/398,653/918 is 1/182682
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 398,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,918) x common factors =2 x 1 = 2
LCM(398,918) = ( 398 × 918 ) / 2
LCM(398,918) = 365364 / 2
LCM(398,918) = 182682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 591,653?
The HCF of 591,653 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 591/398, 653/918?
Answer: GCF of Numerators as per given numbers 591/398, 653/918 is
GCF of Numerators i.e. for 591,653 is 1
LCM of denominators i.e. for 398,918 is 182682.
Thus, GCF of Fractions is 1/182682.Finally, GCF of Fractions for 591/398, 653/918 is 1/182682.