GCF of 228/459, 1044/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/459, 1044/877 i.e 12/402543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/459, 1044/877.
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 228/459,1044/877?
Given fractions are 228/459,1044/877
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 228/459,1044/877, numerators are 228,1044
Denominators are 459,877
The GCF of 228,1044 is 12 .
LCM of 459,877 is 402543.
The greatest common factor of 228/459,1044/877 = [GCF of 228,1044]/[LCM of 459,877]= 12/402543
Therefore, the GCF of 228/459,1044/877 is 12/402543.
To find the highest common factor of 228,1044, we have to find the factors of both numbers and list the highest common factor.
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
The HCF of 228,1044 is 12.
Lets's calculate GCF of 228,1044
| 2 | 228, 1044 |
| 2 | 114, 522 |
| 3 | 57, 261 |
| 19, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 228,1044 By Matching Biggest Common Factor Method
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Now, list down the factors of 1044
:1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Greatest Common Factor
We found the factors 228,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 228,1044 is 12.
Lets's calculate LCM of 459,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 402543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/402543
Therefore, the GCF of Fractions 228/459,1044/877 is 12/402543
Least Common Multiple of 459,877 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 459,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,877) x common factors =1 x 1 = 1
LCM(459,877) = ( 459 × 877 ) / 1
LCM(459,877) = 402543 / 1
LCM(459,877) = 402543
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 228/459, 1044/877
1. What is the HCF of 228,1044?
The HCF of 228,1044 is 12
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 228/459, 1044/877?
Answer: GCF of Numerators as per given numbers 228/459, 1044/877 is
GCF of Numerators i.e. for 228,1044 is 12
LCM of denominators i.e. for 459,877 is 402543.
Thus, GCF of Fractions is 12/402543.Finally, GCF of Fractions for 228/459, 1044/877 is 12/402543.