GCF of 9369/861, 7992/7707
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9369/861, 7992/7707 i.e 27/315987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9369/861, 7992/7707.
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 9369/861,7992/7707?
Given fractions are 9369/861,7992/7707
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 9369/861,7992/7707, numerators are 9369,7992
Denominators are 861,7707
The GCF of 9369,7992 is 27 .
LCM of 861,7707 is 315987.
The greatest common factor of 9369/861,7992/7707 = [GCF of 9369,7992]/[LCM of 861,7707]= 27/315987
Therefore, the GCF of 9369/861,7992/7707 is 27/315987.
To find the highest common factor of 9369,7992, we have to find the factors of both numbers and list the highest common factor.
The factors of 9369 are 1, 3, 9, 27, 347, 1041, 3123, 9369
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 9369,7992 is 27.
Lets's calculate GCF of 9369,7992
| 3 | 9369, 7992 |
| 3 | 3123, 2664 |
| 3 | 1041, 888 |
| 347, 296 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9369,7992 By Matching Biggest Common Factor Method
Now, list down the factors of 9369
:1,3,9,27,347,1041,3123,9369
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 9369,7992 . The biggest common factor number is the GCF number.
So the greatest common factor 9369,7992 is 27.
Lets's calculate LCM of 861,7707
| 3 | 861, 7707 |
| 7 | 287, 2569 |
| 41, 367 |
∴ So the LCM of the given numbers is 3 x 7 x 41 x 367 = 315987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/315987
Therefore, the GCF of Fractions 9369/861,7992/7707 is 27/315987
Least Common Multiple of 861,7707 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 861,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,7707) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(861,7707) x common factors =21 x 1 = 21
LCM(861,7707) = ( 861 × 7707 ) / 21
LCM(861,7707) = 6635727 / 21
LCM(861,7707) = 315987
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FAQs on GCF of Fractions of 9369/861, 7992/7707
1. What is the HCF of 9369,7992?
The HCF of 9369,7992 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 9369/861, 7992/7707?
Answer: GCF of Numerators as per given numbers 9369/861, 7992/7707 is
GCF of Numerators i.e. for 9369,7992 is 27
LCM of denominators i.e. for 861,7707 is 315987.
Thus, GCF of Fractions is 27/315987.Finally, GCF of Fractions for 9369/861, 7992/7707 is 27/315987.