GCF of 595/539, 4947/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 595/539, 4947/198 i.e 17/9702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/539, 4947/198.
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 595/539,4947/198?
Given fractions are 595/539,4947/198
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 595/539,4947/198, numerators are 595,4947
Denominators are 539,198
The GCF of 595,4947 is 17 .
LCM of 539,198 is 9702.
The greatest common factor of 595/539,4947/198 = [GCF of 595,4947]/[LCM of 539,198]= 17/9702
Therefore, the GCF of 595/539,4947/198 is 17/9702.
To find the highest common factor of 595,4947, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947
The HCF of 595,4947 is 17.
Lets's calculate GCF of 595,4947
| 17 | 595, 4947 |
| 35, 291 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 595,4947 By Matching Biggest Common Factor Method
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
Now, list down the factors of 4947
:1,3,17,51,97,291,1649,4947
Greatest Common Factor
We found the factors 595,4947 . The biggest common factor number is the GCF number.
So the greatest common factor 595,4947 is 17.
Lets's calculate LCM of 539,198
| 11 | 539, 198 |
| 49, 18 |
∴ So the LCM of the given numbers is 11 x 49 x 18 = 9702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/9702
Therefore, the GCF of Fractions 595/539,4947/198 is 17/9702
Least Common Multiple of 539,198 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 539,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,198) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(539,198) x common factors =11 x 1 = 11
LCM(539,198) = ( 539 × 198 ) / 11
LCM(539,198) = 106722 / 11
LCM(539,198) = 9702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 595/539, 4947/198
1. What is the HCF of 595,4947?
The HCF of 595,4947 is 17
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 595/539, 4947/198?
Answer: GCF of Numerators as per given numbers 595/539, 4947/198 is
GCF of Numerators i.e. for 595,4947 is 17
LCM of denominators i.e. for 539,198 is 9702.
Thus, GCF of Fractions is 17/9702.Finally, GCF of Fractions for 595/539, 4947/198 is 17/9702.