GCF of 4872/288, 5064/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4872/288, 5064/300 i.e 24/7200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4872/288, 5064/300.
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 4872/288,5064/300?
Given fractions are 4872/288,5064/300
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 4872/288,5064/300, numerators are 4872,5064
Denominators are 288,300
The GCF of 4872,5064 is 24 .
LCM of 288,300 is 7200.
The greatest common factor of 4872/288,5064/300 = [GCF of 4872,5064]/[LCM of 288,300]= 24/7200
Therefore, the GCF of 4872/288,5064/300 is 24/7200.
To find the highest common factor of 4872,5064, we have to find the factors of both numbers and list the highest common factor.
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064
The HCF of 4872,5064 is 24.
Lets's calculate GCF of 4872,5064
| 2 | 4872, 5064 |
| 2 | 2436, 2532 |
| 2 | 1218, 1266 |
| 3 | 609, 633 |
| 203, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 4872,5064 By Matching Biggest Common Factor Method
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Now, list down the factors of 5064
:1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Greatest Common Factor
We found the factors 4872,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 4872,5064 is 24.
Lets's calculate LCM of 288,300
| 2 | 288, 300 |
| 2 | 144, 150 |
| 3 | 72, 75 |
| 24, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 25 = 7200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/7200
Therefore, the GCF of Fractions 4872/288,5064/300 is 24/7200
Least Common Multiple of 288,300 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 288,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,300) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(288,300) x common factors =12 x 1 = 12
LCM(288,300) = ( 288 × 300 ) / 12
LCM(288,300) = 86400 / 12
LCM(288,300) = 7200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4872/288, 5064/300
1. What is the HCF of 4872,5064?
The HCF of 4872,5064 is 24
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 4872/288, 5064/300?
Answer: GCF of Numerators as per given numbers 4872/288, 5064/300 is
GCF of Numerators i.e. for 4872,5064 is 24
LCM of denominators i.e. for 288,300 is 7200.
Thus, GCF of Fractions is 24/7200.Finally, GCF of Fractions for 4872/288, 5064/300 is 24/7200.