GCF of 24/475, 22/380, 564/800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/475, 22/380, 564/800 i.e 2/15200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/475, 22/380, 564/800.
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 24/475,22/380,564/800?
Given fractions are 24/475,22/380,564/800
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 24/475,22/380,564/800, numerators are 24,22,564
Denominators are 475,380,800
The GCF of 24,22,564 is 2 .
LCM of 475,380,800 is 15200.
The greatest common factor of 24/475,22/380,564/800 = [GCF of 24,22,564]/[LCM of 475,380,800]= 2/15200
Therefore, the GCF of 24/475,22/380,564/800 is 2/15200.
To find the highest common factor of 24,22,564, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 22 are 1, 2, 11, 22
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The HCF of 24,22,564 is 2.
Lets's calculate GCF of 24,22,564
| 2 | 24, 22, 564 |
| 12, 11, 282 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 24,22,564 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 24,22,564 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,564 is 2.
Lets's calculate LCM of 475,380,800
| 2 | 475, 380, 800 |
| 2 | 475, 190, 400 |
| 5 | 475, 95, 200 |
| 5 | 19, 95, 40 |
| 19 | 19, 19, 8 |
| 1, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 19 x 1 x 1 x 8 = 15200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15200
Therefore, the GCF of Fractions 24/475,22/380,564/800 is 2/15200
Least Common Multiple of 475,380,800 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 475,380,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,380,800) = 5
common factors(in case of two or more numbers have common factors) = 1900
GCF(475,380,800) x common factors =5 x 1900 = 9500
LCM(475,380,800) = ( 475 × 380 × 800 ) / 9500
LCM(475,380,800) = 144400000 / 9500
LCM(475,380,800) = 15200
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FAQs on GCF of Fractions of 24/475, 22/380, 564/800
1. What is the HCF of 24,22,564?
The HCF of 24,22,564 is 2
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 24/475, 22/380, 564/800?
Answer: GCF of Numerators as per given numbers 24/475, 22/380, 564/800 is
GCF of Numerators i.e. for 24,22,564 is 2
LCM of denominators i.e. for 475,380,800 is 15200.
Thus, GCF of Fractions is 2/15200.Finally, GCF of Fractions for 24/475, 22/380, 564/800 is 2/15200.