GCF of 8034/232, 1905/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8034/232, 1905/499 i.e 3/115768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8034/232, 1905/499.
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 8034/232,1905/499?
Given fractions are 8034/232,1905/499
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 8034/232,1905/499, numerators are 8034,1905
Denominators are 232,499
The GCF of 8034,1905 is 3 .
LCM of 232,499 is 115768.
The greatest common factor of 8034/232,1905/499 = [GCF of 8034,1905]/[LCM of 232,499]= 3/115768
Therefore, the GCF of 8034/232,1905/499 is 3/115768.
To find the highest common factor of 8034,1905, we have to find the factors of both numbers and list the highest common factor.
The factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The HCF of 8034,1905 is 3.
Lets's calculate GCF of 8034,1905
| 3 | 8034, 1905 |
| 2678, 635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8034,1905 By Matching Biggest Common Factor Method
Now, list down the factors of 8034
:1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Greatest Common Factor
We found the factors 8034,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,1905 is 3.
Lets's calculate LCM of 232,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 115768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115768
Therefore, the GCF of Fractions 8034/232,1905/499 is 3/115768
Least Common Multiple of 232,499 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 232,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,499) x common factors =1 x 1 = 1
LCM(232,499) = ( 232 × 499 ) / 1
LCM(232,499) = 115768 / 1
LCM(232,499) = 115768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8034/232, 1905/499
1. What is the HCF of 8034,1905?
The HCF of 8034,1905 is 3
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 8034/232, 1905/499?
Answer: GCF of Numerators as per given numbers 8034/232, 1905/499 is
GCF of Numerators i.e. for 8034,1905 is 3
LCM of denominators i.e. for 232,499 is 115768.
Thus, GCF of Fractions is 3/115768.Finally, GCF of Fractions for 8034/232, 1905/499 is 3/115768.