GCF of 3591/419, 7992/3849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3591/419, 7992/3849 i.e 27/1612731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3591/419, 7992/3849.
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 3591/419,7992/3849?
Given fractions are 3591/419,7992/3849
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 3591/419,7992/3849, numerators are 3591,7992
Denominators are 419,3849
The GCF of 3591,7992 is 27 .
LCM of 419,3849 is 1612731.
The greatest common factor of 3591/419,7992/3849 = [GCF of 3591,7992]/[LCM of 419,3849]= 27/1612731
Therefore, the GCF of 3591/419,7992/3849 is 27/1612731.
To find the highest common factor of 3591,7992, we have to find the factors of both numbers and list the highest common factor.
The factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
The factors of 7992 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 108, 111, 148, 216, 222, 296, 333, 444, 666, 888, 999, 1332, 1998, 2664, 3996, 7992
The HCF of 3591,7992 is 27.
Lets's calculate GCF of 3591,7992
| 3 | 3591, 7992 |
| 3 | 1197, 2664 |
| 3 | 399, 888 |
| 133, 296 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 3591,7992 By Matching Biggest Common Factor Method
Now, list down the factors of 3591
:1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591
Now, list down the factors of 7992
:1,2,3,4,6,8,9,12,18,24,27,36,37,54,72,74,108,111,148,216,222,296,333,444,666,888,999,1332,1998,2664,3996,7992
Greatest Common Factor
We found the factors 3591,7992 . The biggest common factor number is the GCF number.
So the greatest common factor 3591,7992 is 27.
Lets's calculate LCM of 419,3849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1612731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1612731
Therefore, the GCF of Fractions 3591/419,7992/3849 is 27/1612731
Least Common Multiple of 419,3849 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 419,3849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,3849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,3849) x common factors =1 x 1 = 1
LCM(419,3849) = ( 419 × 3849 ) / 1
LCM(419,3849) = 1612731 / 1
LCM(419,3849) = 1612731
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FAQs on GCF of Fractions of 3591/419, 7992/3849
1. What is the HCF of 3591,7992?
The HCF of 3591,7992 is 27
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 3591/419, 7992/3849?
Answer: GCF of Numerators as per given numbers 3591/419, 7992/3849 is
GCF of Numerators i.e. for 3591,7992 is 27
LCM of denominators i.e. for 419,3849 is 1612731.
Thus, GCF of Fractions is 27/1612731.Finally, GCF of Fractions for 3591/419, 7992/3849 is 27/1612731.