GCF of 2192/339, 4800/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2192/339, 4800/702 i.e 16/79326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2192/339, 4800/702.
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 2192/339,4800/702?
Given fractions are 2192/339,4800/702
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 2192/339,4800/702, numerators are 2192,4800
Denominators are 339,702
The GCF of 2192,4800 is 16 .
LCM of 339,702 is 79326.
The greatest common factor of 2192/339,4800/702 = [GCF of 2192,4800]/[LCM of 339,702]= 16/79326
Therefore, the GCF of 2192/339,4800/702 is 16/79326.
To find the highest common factor of 2192,4800, we have to find the factors of both numbers and list the highest common factor.
The factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192
The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800
The HCF of 2192,4800 is 16.
Lets's calculate GCF of 2192,4800
| 2 | 2192, 4800 |
| 2 | 1096, 2400 |
| 2 | 548, 1200 |
| 2 | 274, 600 |
| 137, 300 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2192,4800 By Matching Biggest Common Factor Method
Now, list down the factors of 2192
:1,2,4,8,16,137,274,548,1096,2192
Now, list down the factors of 4800
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800
Greatest Common Factor
We found the factors 2192,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 2192,4800 is 16.
Lets's calculate LCM of 339,702
| 3 | 339, 702 |
| 113, 234 |
∴ So the LCM of the given numbers is 3 x 113 x 234 = 79326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/79326
Therefore, the GCF of Fractions 2192/339,4800/702 is 16/79326
Least Common Multiple of 339,702 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 339,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,702) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(339,702) x common factors =3 x 1 = 3
LCM(339,702) = ( 339 × 702 ) / 3
LCM(339,702) = 237978 / 3
LCM(339,702) = 79326
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FAQs on GCF of Fractions of 2192/339, 4800/702
1. What is the HCF of 2192,4800?
The HCF of 2192,4800 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 2192/339, 4800/702?
Answer: GCF of Numerators as per given numbers 2192/339, 4800/702 is
GCF of Numerators i.e. for 2192,4800 is 16
LCM of denominators i.e. for 339,702 is 79326.
Thus, GCF of Fractions is 16/79326.Finally, GCF of Fractions for 2192/339, 4800/702 is 16/79326.