GCF of 9132/394, 4992/1882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9132/394, 4992/1882 i.e 12/370754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9132/394, 4992/1882.
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 9132/394,4992/1882?
Given fractions are 9132/394,4992/1882
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 9132/394,4992/1882, numerators are 9132,4992
Denominators are 394,1882
The GCF of 9132,4992 is 12 .
LCM of 394,1882 is 370754.
The greatest common factor of 9132/394,4992/1882 = [GCF of 9132,4992]/[LCM of 394,1882]= 12/370754
Therefore, the GCF of 9132/394,4992/1882 is 12/370754.
To find the highest common factor of 9132,4992, we have to find the factors of both numbers and list the highest common factor.
The factors of 9132 are 1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566, 9132
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The HCF of 9132,4992 is 12.
Lets's calculate GCF of 9132,4992
| 2 | 9132, 4992 |
| 2 | 4566, 2496 |
| 3 | 2283, 1248 |
| 761, 416 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9132,4992 By Matching Biggest Common Factor Method
Now, list down the factors of 9132
:1,2,3,4,6,12,761,1522,2283,3044,4566,9132
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Greatest Common Factor
We found the factors 9132,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 9132,4992 is 12.
Lets's calculate LCM of 394,1882
| 2 | 394, 1882 |
| 197, 941 |
∴ So the LCM of the given numbers is 2 x 197 x 941 = 370754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/370754
Therefore, the GCF of Fractions 9132/394,4992/1882 is 12/370754
Least Common Multiple of 394,1882 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 394,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,1882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,1882) x common factors =2 x 1 = 2
LCM(394,1882) = ( 394 × 1882 ) / 2
LCM(394,1882) = 741508 / 2
LCM(394,1882) = 370754
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FAQs on GCF of Fractions of 9132/394, 4992/1882
1. What is the HCF of 9132,4992?
The HCF of 9132,4992 is 12
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 9132/394, 4992/1882?
Answer: GCF of Numerators as per given numbers 9132/394, 4992/1882 is
GCF of Numerators i.e. for 9132,4992 is 12
LCM of denominators i.e. for 394,1882 is 370754.
Thus, GCF of Fractions is 12/370754.Finally, GCF of Fractions for 9132/394, 4992/1882 is 12/370754.