GCF of 8637/293, 7728/9897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8637/293, 7728/9897 i.e 3/2899821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8637/293, 7728/9897.
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 8637/293,7728/9897?
Given fractions are 8637/293,7728/9897
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 8637/293,7728/9897, numerators are 8637,7728
Denominators are 293,9897
The GCF of 8637,7728 is 3 .
LCM of 293,9897 is 2899821.
The greatest common factor of 8637/293,7728/9897 = [GCF of 8637,7728]/[LCM of 293,9897]= 3/2899821
Therefore, the GCF of 8637/293,7728/9897 is 3/2899821.
To find the highest common factor of 8637,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 8637 are 1, 3, 2879, 8637
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The HCF of 8637,7728 is 3.
Lets's calculate GCF of 8637,7728
| 3 | 8637, 7728 |
| 2879, 2576 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8637,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 8637
:1,3,2879,8637
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Greatest Common Factor
We found the factors 8637,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 8637,7728 is 3.
Lets's calculate LCM of 293,9897
Given numbers has no common factors except 1. So, there LCM is their product i.e 2899821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2899821
Therefore, the GCF of Fractions 8637/293,7728/9897 is 3/2899821
Least Common Multiple of 293,9897 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 293,9897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,9897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,9897) x common factors =1 x 1 = 1
LCM(293,9897) = ( 293 × 9897 ) / 1
LCM(293,9897) = 2899821 / 1
LCM(293,9897) = 2899821
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FAQs on GCF of Fractions of 8637/293, 7728/9897
1. What is the HCF of 8637,7728?
The HCF of 8637,7728 is 3
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 8637/293, 7728/9897?
Answer: GCF of Numerators as per given numbers 8637/293, 7728/9897 is
GCF of Numerators i.e. for 8637,7728 is 3
LCM of denominators i.e. for 293,9897 is 2899821.
Thus, GCF of Fractions is 3/2899821.Finally, GCF of Fractions for 8637/293, 7728/9897 is 3/2899821.