GCF of 3792/328, 3684/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3792/328, 3684/665 i.e 12/218120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3792/328, 3684/665.
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 3792/328,3684/665?
Given fractions are 3792/328,3684/665
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 3792/328,3684/665, numerators are 3792,3684
Denominators are 328,665
The GCF of 3792,3684 is 12 .
LCM of 328,665 is 218120.
The greatest common factor of 3792/328,3684/665 = [GCF of 3792,3684]/[LCM of 328,665]= 12/218120
Therefore, the GCF of 3792/328,3684/665 is 12/218120.
To find the highest common factor of 3792,3684, we have to find the factors of both numbers and list the highest common factor.
The factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792
The factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684
The HCF of 3792,3684 is 12.
Lets's calculate GCF of 3792,3684
| 2 | 3792, 3684 |
| 2 | 1896, 1842 |
| 3 | 948, 921 |
| 316, 307 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3792,3684 By Matching Biggest Common Factor Method
Now, list down the factors of 3792
:1,2,3,4,6,8,12,16,24,48,79,158,237,316,474,632,948,1264,1896,3792
Now, list down the factors of 3684
:1,2,3,4,6,12,307,614,921,1228,1842,3684
Greatest Common Factor
We found the factors 3792,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 3792,3684 is 12.
Lets's calculate LCM of 328,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 218120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/218120
Therefore, the GCF of Fractions 3792/328,3684/665 is 12/218120
Least Common Multiple of 328,665 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 328,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,665) x common factors =1 x 1 = 1
LCM(328,665) = ( 328 × 665 ) / 1
LCM(328,665) = 218120 / 1
LCM(328,665) = 218120
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FAQs on GCF of Fractions of 3792/328, 3684/665
1. What is the HCF of 3792,3684?
The HCF of 3792,3684 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 3792/328, 3684/665?
Answer: GCF of Numerators as per given numbers 3792/328, 3684/665 is
GCF of Numerators i.e. for 3792,3684 is 12
LCM of denominators i.e. for 328,665 is 218120.
Thus, GCF of Fractions is 12/218120.Finally, GCF of Fractions for 3792/328, 3684/665 is 12/218120.