GCF of 9873/459, 2712/5369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9873/459, 2712/5369 i.e 3/2464371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9873/459, 2712/5369.
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 9873/459,2712/5369?
Given fractions are 9873/459,2712/5369
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 9873/459,2712/5369, numerators are 9873,2712
Denominators are 459,5369
The GCF of 9873,2712 is 3 .
LCM of 459,5369 is 2464371.
The greatest common factor of 9873/459,2712/5369 = [GCF of 9873,2712]/[LCM of 459,5369]= 3/2464371
Therefore, the GCF of 9873/459,2712/5369 is 3/2464371.
To find the highest common factor of 9873,2712, we have to find the factors of both numbers and list the highest common factor.
The factors of 9873 are 1, 3, 9, 1097, 3291, 9873
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The HCF of 9873,2712 is 3.
Lets's calculate GCF of 9873,2712
| 3 | 9873, 2712 |
| 3291, 904 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9873,2712 By Matching Biggest Common Factor Method
Now, list down the factors of 9873
:1,3,9,1097,3291,9873
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Greatest Common Factor
We found the factors 9873,2712 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,2712 is 3.
Lets's calculate LCM of 459,5369
Given numbers has no common factors except 1. So, there LCM is their product i.e 2464371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2464371
Therefore, the GCF of Fractions 9873/459,2712/5369 is 3/2464371
Least Common Multiple of 459,5369 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 459,5369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,5369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,5369) x common factors =1 x 1 = 1
LCM(459,5369) = ( 459 × 5369 ) / 1
LCM(459,5369) = 2464371 / 1
LCM(459,5369) = 2464371
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9873/459, 2712/5369
1. What is the HCF of 9873,2712?
The HCF of 9873,2712 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 9873/459, 2712/5369?
Answer: GCF of Numerators as per given numbers 9873/459, 2712/5369 is
GCF of Numerators i.e. for 9873,2712 is 3
LCM of denominators i.e. for 459,5369 is 2464371.
Thus, GCF of Fractions is 3/2464371.Finally, GCF of Fractions for 9873/459, 2712/5369 is 3/2464371.