GCF of 2288/450, 5728/5100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2288/450, 5728/5100 i.e 16/15300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2288/450, 5728/5100.
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 2288/450,5728/5100?
Given fractions are 2288/450,5728/5100
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 2288/450,5728/5100, numerators are 2288,5728
Denominators are 450,5100
The GCF of 2288,5728 is 16 .
LCM of 450,5100 is 15300.
The greatest common factor of 2288/450,5728/5100 = [GCF of 2288,5728]/[LCM of 450,5100]= 16/15300
Therefore, the GCF of 2288/450,5728/5100 is 16/15300.
To find the highest common factor of 2288,5728, we have to find the factors of both numbers and list the highest common factor.
The factors of 2288 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 44, 52, 88, 104, 143, 176, 208, 286, 572, 1144, 2288
The factors of 5728 are 1, 2, 4, 8, 16, 32, 179, 358, 716, 1432, 2864, 5728
The HCF of 2288,5728 is 16.
Lets's calculate GCF of 2288,5728
| 2 | 2288, 5728 |
| 2 | 1144, 2864 |
| 2 | 572, 1432 |
| 2 | 286, 716 |
| 143, 358 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2288,5728 By Matching Biggest Common Factor Method
Now, list down the factors of 2288
:1,2,4,8,11,13,16,22,26,44,52,88,104,143,176,208,286,572,1144,2288
Now, list down the factors of 5728
:1,2,4,8,16,32,179,358,716,1432,2864,5728
Greatest Common Factor
We found the factors 2288,5728 . The biggest common factor number is the GCF number.
So the greatest common factor 2288,5728 is 16.
Lets's calculate LCM of 450,5100
| 2 | 450, 5100 |
| 3 | 225, 2550 |
| 5 | 75, 850 |
| 5 | 15, 170 |
| 3, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 3 x 34 = 15300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/15300
Therefore, the GCF of Fractions 2288/450,5728/5100 is 16/15300
Least Common Multiple of 450,5100 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 450,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5100) = 150
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5100) x common factors =150 x 1 = 150
LCM(450,5100) = ( 450 × 5100 ) / 150
LCM(450,5100) = 2295000 / 150
LCM(450,5100) = 15300
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FAQs on GCF of Fractions of 2288/450, 5728/5100
1. What is the HCF of 2288,5728?
The HCF of 2288,5728 is 16
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 2288/450, 5728/5100?
Answer: GCF of Numerators as per given numbers 2288/450, 5728/5100 is
GCF of Numerators i.e. for 2288,5728 is 16
LCM of denominators i.e. for 450,5100 is 15300.
Thus, GCF of Fractions is 16/15300.Finally, GCF of Fractions for 2288/450, 5728/5100 is 16/15300.