GCF of 5152/489, 5200/7368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5152/489, 5200/7368 i.e 16/1200984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5152/489, 5200/7368.
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 5152/489,5200/7368?
Given fractions are 5152/489,5200/7368
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 5152/489,5200/7368, numerators are 5152,5200
Denominators are 489,7368
The GCF of 5152,5200 is 16 .
LCM of 489,7368 is 1200984.
The greatest common factor of 5152/489,5200/7368 = [GCF of 5152,5200]/[LCM of 489,7368]= 16/1200984
Therefore, the GCF of 5152/489,5200/7368 is 16/1200984.
To find the highest common factor of 5152,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 5152 are 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 5152,5200 is 16.
Lets's calculate GCF of 5152,5200
| 2 | 5152, 5200 |
| 2 | 2576, 2600 |
| 2 | 1288, 1300 |
| 2 | 644, 650 |
| 322, 325 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5152,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 5152
:1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 5152,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 5152,5200 is 16.
Lets's calculate LCM of 489,7368
| 3 | 489, 7368 |
| 163, 2456 |
∴ So the LCM of the given numbers is 3 x 163 x 2456 = 1200984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1200984
Therefore, the GCF of Fractions 5152/489,5200/7368 is 16/1200984
Least Common Multiple of 489,7368 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 489,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,7368) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,7368) x common factors =3 x 1 = 3
LCM(489,7368) = ( 489 × 7368 ) / 3
LCM(489,7368) = 3602952 / 3
LCM(489,7368) = 1200984
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5152/489, 5200/7368
1. What is the HCF of 5152,5200?
The HCF of 5152,5200 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 5152/489, 5200/7368?
Answer: GCF of Numerators as per given numbers 5152/489, 5200/7368 is
GCF of Numerators i.e. for 5152,5200 is 16
LCM of denominators i.e. for 489,7368 is 1200984.
Thus, GCF of Fractions is 16/1200984.Finally, GCF of Fractions for 5152/489, 5200/7368 is 16/1200984.