GCF of 4192/334, 9040/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4192/334, 9040/592 i.e 16/98864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4192/334, 9040/592.
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 4192/334,9040/592?
Given fractions are 4192/334,9040/592
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 4192/334,9040/592, numerators are 4192,9040
Denominators are 334,592
The GCF of 4192,9040 is 16 .
LCM of 334,592 is 98864.
The greatest common factor of 4192/334,9040/592 = [GCF of 4192,9040]/[LCM of 334,592]= 16/98864
Therefore, the GCF of 4192/334,9040/592 is 16/98864.
To find the highest common factor of 4192,9040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4192 are 1, 2, 4, 8, 16, 32, 131, 262, 524, 1048, 2096, 4192
The factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040
The HCF of 4192,9040 is 16.
Lets's calculate GCF of 4192,9040
| 2 | 4192, 9040 |
| 2 | 2096, 4520 |
| 2 | 1048, 2260 |
| 2 | 524, 1130 |
| 262, 565 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4192,9040 By Matching Biggest Common Factor Method
Now, list down the factors of 4192
:1,2,4,8,16,32,131,262,524,1048,2096,4192
Now, list down the factors of 9040
:1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Greatest Common Factor
We found the factors 4192,9040 . The biggest common factor number is the GCF number.
So the greatest common factor 4192,9040 is 16.
Lets's calculate LCM of 334,592
| 2 | 334, 592 |
| 167, 296 |
∴ So the LCM of the given numbers is 2 x 167 x 296 = 98864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/98864
Therefore, the GCF of Fractions 4192/334,9040/592 is 16/98864
Least Common Multiple of 334,592 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 334,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,592) x common factors =2 x 1 = 2
LCM(334,592) = ( 334 × 592 ) / 2
LCM(334,592) = 197728 / 2
LCM(334,592) = 98864
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FAQs on GCF of Fractions of 4192/334, 9040/592
1. What is the HCF of 4192,9040?
The HCF of 4192,9040 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 4192/334, 9040/592?
Answer: GCF of Numerators as per given numbers 4192/334, 9040/592 is
GCF of Numerators i.e. for 4192,9040 is 16
LCM of denominators i.e. for 334,592 is 98864.
Thus, GCF of Fractions is 16/98864.Finally, GCF of Fractions for 4192/334, 9040/592 is 16/98864.