GCF of 7776/321, 3897/5992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7776/321, 3897/5992 i.e 9/17976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7776/321, 3897/5992.
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 7776/321,3897/5992?
Given fractions are 7776/321,3897/5992
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 7776/321,3897/5992, numerators are 7776,3897
Denominators are 321,5992
The GCF of 7776,3897 is 9 .
LCM of 321,5992 is 17976.
The greatest common factor of 7776/321,3897/5992 = [GCF of 7776,3897]/[LCM of 321,5992]= 9/17976
Therefore, the GCF of 7776/321,3897/5992 is 9/17976.
To find the highest common factor of 7776,3897, we have to find the factors of both numbers and list the highest common factor.
The factors of 7776 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 288, 324, 432, 486, 648, 864, 972, 1296, 1944, 2592, 3888, 7776
The factors of 3897 are 1, 3, 9, 433, 1299, 3897
The HCF of 7776,3897 is 9.
Lets's calculate GCF of 7776,3897
| 3 | 7776, 3897 |
| 3 | 2592, 1299 |
| 864, 433 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7776,3897 By Matching Biggest Common Factor Method
Now, list down the factors of 7776
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776
Now, list down the factors of 3897
:1,3,9,433,1299,3897
Greatest Common Factor
We found the factors 7776,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 7776,3897 is 9.
Lets's calculate LCM of 321,5992
| 107 | 321, 5992 |
| 3, 56 |
∴ So the LCM of the given numbers is 107 x 3 x 56 = 17976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/17976
Therefore, the GCF of Fractions 7776/321,3897/5992 is 9/17976
Least Common Multiple of 321,5992 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 321,5992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5992) = 107
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5992) x common factors =107 x 1 = 107
LCM(321,5992) = ( 321 × 5992 ) / 107
LCM(321,5992) = 1923432 / 107
LCM(321,5992) = 17976
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FAQs on GCF of Fractions of 7776/321, 3897/5992
1. What is the HCF of 7776,3897?
The HCF of 7776,3897 is 9
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 7776/321, 3897/5992?
Answer: GCF of Numerators as per given numbers 7776/321, 3897/5992 is
GCF of Numerators i.e. for 7776,3897 is 9
LCM of denominators i.e. for 321,5992 is 17976.
Thus, GCF of Fractions is 9/17976.Finally, GCF of Fractions for 7776/321, 3897/5992 is 9/17976.