GCF of 591/419, 591/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 591/419, 591/474 i.e 591/198606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/419, 591/474.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 591/419,591/474?
Given fractions are 591/419,591/474
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 591/419,591/474, numerators are 591,591
Denominators are 419,474
The GCF of 591,591 is 591 .
LCM of 419,474 is 198606.
The greatest common factor of 591/419,591/474 = [GCF of 591,591]/[LCM of 419,474]= 591/198606
Therefore, the GCF of 591/419,591/474 is 591/198606.
To find the highest common factor of 591,591, 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 591 are 1, 3, 197, 591
The HCF of 591,591 is 591.
Lets's calculate GCF of 591,591
| 3 | 591, 591 |
| 197 | 197, 197 |
| 1, 1 |
∴ So the GCF of the given numbers is 3 x 197 = 591
Greatest Common Factor of 591,591 By Matching Biggest Common Factor Method
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 591
:1,3,197,591
Greatest Common Factor
We found the factors 591,591 . The biggest common factor number is the GCF number.
So the greatest common factor 591,591 is 591.
Lets's calculate LCM of 419,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 198606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 591/198606
Therefore, the GCF of Fractions 591/419,591/474 is 591/198606
Least Common Multiple of 419,474 with GCF Formula
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 419,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,474) x common factors =1 x 1 = 1
LCM(419,474) = ( 419 × 474 ) / 1
LCM(419,474) = 198606 / 1
LCM(419,474) = 198606
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FAQs on GCF of Fractions of 591/419, 591/474
1. What is the HCF of 591,591?
The HCF of 591,591 is 591
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 591/419, 591/474?
Answer: GCF of Numerators as per given numbers 591/419, 591/474 is
GCF of Numerators i.e. for 591,591 is 591
LCM of denominators i.e. for 419,474 is 198606.
Thus, GCF of Fractions is 591/198606.Finally, GCF of Fractions for 591/419, 591/474 is 591/198606.