GCF of 9925/599, 5385/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9925/599, 5385/260 i.e 5/155740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9925/599, 5385/260.
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 9925/599,5385/260?
Given fractions are 9925/599,5385/260
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 9925/599,5385/260, numerators are 9925,5385
Denominators are 599,260
The GCF of 9925,5385 is 5 .
LCM of 599,260 is 155740.
The greatest common factor of 9925/599,5385/260 = [GCF of 9925,5385]/[LCM of 599,260]= 5/155740
Therefore, the GCF of 9925/599,5385/260 is 5/155740.
To find the highest common factor of 9925,5385, we have to find the factors of both numbers and list the highest common factor.
The factors of 9925 are 1, 5, 25, 397, 1985, 9925
The factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385
The HCF of 9925,5385 is 5.
Lets's calculate GCF of 9925,5385
| 5 | 9925, 5385 |
| 1985, 1077 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9925,5385 By Matching Biggest Common Factor Method
Now, list down the factors of 9925
:1,5,25,397,1985,9925
Now, list down the factors of 5385
:1,3,5,15,359,1077,1795,5385
Greatest Common Factor
We found the factors 9925,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 9925,5385 is 5.
Lets's calculate LCM of 599,260
Given numbers has no common factors except 1. So, there LCM is their product i.e 155740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/155740
Therefore, the GCF of Fractions 9925/599,5385/260 is 5/155740
Least Common Multiple of 599,260 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 599,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,260) x common factors =1 x 1 = 1
LCM(599,260) = ( 599 × 260 ) / 1
LCM(599,260) = 155740 / 1
LCM(599,260) = 155740
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9925/599, 5385/260
1. What is the HCF of 9925,5385?
The HCF of 9925,5385 is 5
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 9925/599, 5385/260?
Answer: GCF of Numerators as per given numbers 9925/599, 5385/260 is
GCF of Numerators i.e. for 9925,5385 is 5
LCM of denominators i.e. for 599,260 is 155740.
Thus, GCF of Fractions is 5/155740.Finally, GCF of Fractions for 9925/599, 5385/260 is 5/155740.