GCF of 8529/568, 6564/3838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8529/568, 6564/3838 i.e 3/1089992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8529/568, 6564/3838.
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 8529/568,6564/3838?
Given fractions are 8529/568,6564/3838
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 8529/568,6564/3838, numerators are 8529,6564
Denominators are 568,3838
The GCF of 8529,6564 is 3 .
LCM of 568,3838 is 1089992.
The greatest common factor of 8529/568,6564/3838 = [GCF of 8529,6564]/[LCM of 568,3838]= 3/1089992
Therefore, the GCF of 8529/568,6564/3838 is 3/1089992.
To find the highest common factor of 8529,6564, we have to find the factors of both numbers and list the highest common factor.
The factors of 8529 are 1, 3, 2843, 8529
The factors of 6564 are 1, 2, 3, 4, 6, 12, 547, 1094, 1641, 2188, 3282, 6564
The HCF of 8529,6564 is 3.
Lets's calculate GCF of 8529,6564
| 3 | 8529, 6564 |
| 2843, 2188 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8529,6564 By Matching Biggest Common Factor Method
Now, list down the factors of 8529
:1,3,2843,8529
Now, list down the factors of 6564
:1,2,3,4,6,12,547,1094,1641,2188,3282,6564
Greatest Common Factor
We found the factors 8529,6564 . The biggest common factor number is the GCF number.
So the greatest common factor 8529,6564 is 3.
Lets's calculate LCM of 568,3838
| 2 | 568, 3838 |
| 284, 1919 |
∴ So the LCM of the given numbers is 2 x 284 x 1919 = 1089992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1089992
Therefore, the GCF of Fractions 8529/568,6564/3838 is 3/1089992
Least Common Multiple of 568,3838 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 568,3838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,3838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,3838) x common factors =2 x 1 = 2
LCM(568,3838) = ( 568 × 3838 ) / 2
LCM(568,3838) = 2179984 / 2
LCM(568,3838) = 1089992
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8529/568, 6564/3838
1. What is the HCF of 8529,6564?
The HCF of 8529,6564 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 8529/568, 6564/3838?
Answer: GCF of Numerators as per given numbers 8529/568, 6564/3838 is
GCF of Numerators i.e. for 8529,6564 is 3
LCM of denominators i.e. for 568,3838 is 1089992.
Thus, GCF of Fractions is 3/1089992.Finally, GCF of Fractions for 8529/568, 6564/3838 is 3/1089992.