GCF of 4575/335, 5965/6922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4575/335, 5965/6922 i.e 5/2318870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4575/335, 5965/6922.
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 4575/335,5965/6922?
Given fractions are 4575/335,5965/6922
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 4575/335,5965/6922, numerators are 4575,5965
Denominators are 335,6922
The GCF of 4575,5965 is 5 .
LCM of 335,6922 is 2318870.
The greatest common factor of 4575/335,5965/6922 = [GCF of 4575,5965]/[LCM of 335,6922]= 5/2318870
Therefore, the GCF of 4575/335,5965/6922 is 5/2318870.
To find the highest common factor of 4575,5965, we have to find the factors of both numbers and list the highest common factor.
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The factors of 5965 are 1, 5, 1193, 5965
The HCF of 4575,5965 is 5.
Lets's calculate GCF of 4575,5965
| 5 | 4575, 5965 |
| 915, 1193 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4575,5965 By Matching Biggest Common Factor Method
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Now, list down the factors of 5965
:1,5,1193,5965
Greatest Common Factor
We found the factors 4575,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 4575,5965 is 5.
Lets's calculate LCM of 335,6922
Given numbers has no common factors except 1. So, there LCM is their product i.e 2318870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2318870
Therefore, the GCF of Fractions 4575/335,5965/6922 is 5/2318870
Least Common Multiple of 335,6922 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 335,6922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,6922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,6922) x common factors =1 x 1 = 1
LCM(335,6922) = ( 335 × 6922 ) / 1
LCM(335,6922) = 2318870 / 1
LCM(335,6922) = 2318870
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4575/335, 5965/6922
1. What is the HCF of 4575,5965?
The HCF of 4575,5965 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 4575/335, 5965/6922?
Answer: GCF of Numerators as per given numbers 4575/335, 5965/6922 is
GCF of Numerators i.e. for 4575,5965 is 5
LCM of denominators i.e. for 335,6922 is 2318870.
Thus, GCF of Fractions is 5/2318870.Finally, GCF of Fractions for 4575/335, 5965/6922 is 5/2318870.