GCF of 48/405, 560/916, 480/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/405, 560/916, 480/338 i.e 16/62695620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/405, 560/916, 480/338.
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 48/405,560/916,480/338?
Given fractions are 48/405,560/916,480/338
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 48/405,560/916,480/338, numerators are 48,560,480
Denominators are 405,916,338
The GCF of 48,560,480 is 16 .
LCM of 405,916,338 is 62695620.
The greatest common factor of 48/405,560/916,480/338 = [GCF of 48,560,480]/[LCM of 405,916,338]= 16/62695620
Therefore, the GCF of 48/405,560/916,480/338 is 16/62695620.
To find the highest common factor of 48,560,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 48,560,480 is 16.
Lets's calculate GCF of 48,560,480
| 2 | 48, 560, 480 |
| 2 | 24, 280, 240 |
| 2 | 12, 140, 120 |
| 2 | 6, 70, 60 |
| 3, 35, 30 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 48,560,480 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 48,560,480 . The biggest common factor number is the GCF number.
So the greatest common factor 48,560,480 is 16.
Lets's calculate LCM of 405,916,338
| 2 | 405, 916, 338 |
| 405, 458, 169 |
∴ So the LCM of the given numbers is 2 x 405 x 458 x 169 = 62695620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/62695620
Therefore, the GCF of Fractions 48/405,560/916,480/338 is 16/62695620
Least Common Multiple of 405,916,338 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 405,916,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,916,338) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(405,916,338) x common factors =1 x 2 = 2
LCM(405,916,338) = ( 405 × 916 × 338 ) / 2
LCM(405,916,338) = 125391240 / 2
LCM(405,916,338) = 62695620
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FAQs on GCF of Fractions of 48/405, 560/916, 480/338
1. What is the HCF of 48,560,480?
The HCF of 48,560,480 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 48/405, 560/916, 480/338?
Answer: GCF of Numerators as per given numbers 48/405, 560/916, 480/338 is
GCF of Numerators i.e. for 48,560,480 is 16
LCM of denominators i.e. for 405,916,338 is 62695620.
Thus, GCF of Fractions is 16/62695620.Finally, GCF of Fractions for 48/405, 560/916, 480/338 is 16/62695620.