GCF of 539/973, 8976/9883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 539/973, 8976/9883 i.e 11/9616159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 539/973, 8976/9883.
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 539/973,8976/9883?
Given fractions are 539/973,8976/9883
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 539/973,8976/9883, numerators are 539,8976
Denominators are 973,9883
The GCF of 539,8976 is 11 .
LCM of 973,9883 is 9616159.
The greatest common factor of 539/973,8976/9883 = [GCF of 539,8976]/[LCM of 973,9883]= 11/9616159
Therefore, the GCF of 539/973,8976/9883 is 11/9616159.
To find the highest common factor of 539,8976, we have to find the factors of both numbers and list the highest common factor.
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976
The HCF of 539,8976 is 11.
Lets's calculate GCF of 539,8976
| 11 | 539, 8976 |
| 49, 816 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 539,8976 By Matching Biggest Common Factor Method
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 8976
:1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976
Greatest Common Factor
We found the factors 539,8976 . The biggest common factor number is the GCF number.
So the greatest common factor 539,8976 is 11.
Lets's calculate LCM of 973,9883
Given numbers has no common factors except 1. So, there LCM is their product i.e 9616159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/9616159
Therefore, the GCF of Fractions 539/973,8976/9883 is 11/9616159
Least Common Multiple of 973,9883 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 973,9883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,9883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,9883) x common factors =1 x 1 = 1
LCM(973,9883) = ( 973 × 9883 ) / 1
LCM(973,9883) = 9616159 / 1
LCM(973,9883) = 9616159
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 539/973, 8976/9883
1. What is the HCF of 539,8976?
The HCF of 539,8976 is 11
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 539/973, 8976/9883?
Answer: GCF of Numerators as per given numbers 539/973, 8976/9883 is
GCF of Numerators i.e. for 539,8976 is 11
LCM of denominators i.e. for 973,9883 is 9616159.
Thus, GCF of Fractions is 11/9616159.Finally, GCF of Fractions for 539/973, 8976/9883 is 11/9616159.