GCF of 192/484, 9216/6142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 192/484, 9216/6142 i.e 192/1486364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 192/484, 9216/6142.
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 192/484,9216/6142?
Given fractions are 192/484,9216/6142
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 192/484,9216/6142, numerators are 192,9216
Denominators are 484,6142
The GCF of 192,9216 is 192 .
LCM of 484,6142 is 1486364.
The greatest common factor of 192/484,9216/6142 = [GCF of 192,9216]/[LCM of 484,6142]= 192/1486364
Therefore, the GCF of 192/484,9216/6142 is 192/1486364.
To find the highest common factor of 192,9216, we have to find the factors of both numbers and list the highest common factor.
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The factors of 9216 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608, 9216
The HCF of 192,9216 is 192.
Lets's calculate GCF of 192,9216
| 2 | 192, 9216 |
| 2 | 96, 4608 |
| 2 | 48, 2304 |
| 2 | 24, 1152 |
| 2 | 12, 576 |
| 2 | 6, 288 |
| 3 | 3, 144 |
| 1, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192
Greatest Common Factor of 192,9216 By Matching Biggest Common Factor Method
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Now, list down the factors of 9216
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216
Greatest Common Factor
We found the factors 192,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 192,9216 is 192.
Lets's calculate LCM of 484,6142
| 2 | 484, 6142 |
| 242, 3071 |
∴ So the LCM of the given numbers is 2 x 242 x 3071 = 1486364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 192/1486364
Therefore, the GCF of Fractions 192/484,9216/6142 is 192/1486364
Least Common Multiple of 484,6142 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 484,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,6142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(484,6142) x common factors =2 x 1 = 2
LCM(484,6142) = ( 484 × 6142 ) / 2
LCM(484,6142) = 2972728 / 2
LCM(484,6142) = 1486364
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FAQs on GCF of Fractions of 192/484, 9216/6142
1. What is the HCF of 192,9216?
The HCF of 192,9216 is 192
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 192/484, 9216/6142?
Answer: GCF of Numerators as per given numbers 192/484, 9216/6142 is
GCF of Numerators i.e. for 192,9216 is 192
LCM of denominators i.e. for 484,6142 is 1486364.
Thus, GCF of Fractions is 192/1486364.Finally, GCF of Fractions for 192/484, 9216/6142 is 192/1486364.