GCF of 8539/240, 7728/1998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8539/240, 7728/1998 i.e 1/79920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8539/240, 7728/1998.
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 8539/240,7728/1998?
Given fractions are 8539/240,7728/1998
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 8539/240,7728/1998, numerators are 8539,7728
Denominators are 240,1998
The GCF of 8539,7728 is 1 .
LCM of 240,1998 is 79920.
The greatest common factor of 8539/240,7728/1998 = [GCF of 8539,7728]/[LCM of 240,1998]= 1/79920
Therefore, the GCF of 8539/240,7728/1998 is 1/79920.
To find the highest common factor of 8539,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 8539 are 1, 8539
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 8539,7728 is 1.
Lets's calculate GCF of 8539,7728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8539,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 8539
:1,8539
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 8539,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 8539,7728 is 1.
Lets's calculate LCM of 240,1998
| 2 | 240, 1998 |
| 3 | 120, 999 |
| 40, 333 |
∴ So the LCM of the given numbers is 2 x 3 x 40 x 333 = 79920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79920
Therefore, the GCF of Fractions 8539/240,7728/1998 is 1/79920
Least Common Multiple of 240,1998 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 240,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,1998) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(240,1998) x common factors =6 x 1 = 6
LCM(240,1998) = ( 240 × 1998 ) / 6
LCM(240,1998) = 479520 / 6
LCM(240,1998) = 79920
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FAQs on GCF of Fractions of 8539/240, 7728/1998
1. What is the HCF of 8539,7728?
The HCF of 8539,7728 is 1
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 8539/240, 7728/1998?
Answer: GCF of Numerators as per given numbers 8539/240, 7728/1998 is
GCF of Numerators i.e. for 8539,7728 is 1
LCM of denominators i.e. for 240,1998 is 79920.
Thus, GCF of Fractions is 1/79920.Finally, GCF of Fractions for 8539/240, 7728/1998 is 1/79920.