GCF of 8547/628, 5830/536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8547/628, 5830/536 i.e 11/84152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8547/628, 5830/536.
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 8547/628,5830/536?
Given fractions are 8547/628,5830/536
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 8547/628,5830/536, numerators are 8547,5830
Denominators are 628,536
The GCF of 8547,5830 is 11 .
LCM of 628,536 is 84152.
The greatest common factor of 8547/628,5830/536 = [GCF of 8547,5830]/[LCM of 628,536]= 11/84152
Therefore, the GCF of 8547/628,5830/536 is 11/84152.
To find the highest common factor of 8547,5830, we have to find the factors of both numbers and list the highest common factor.
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830
The HCF of 8547,5830 is 11.
Lets's calculate GCF of 8547,5830
| 11 | 8547, 5830 |
| 777, 530 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8547,5830 By Matching Biggest Common Factor Method
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Now, list down the factors of 5830
:1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830
Greatest Common Factor
We found the factors 8547,5830 . The biggest common factor number is the GCF number.
So the greatest common factor 8547,5830 is 11.
Lets's calculate LCM of 628,536
| 2 | 628, 536 |
| 2 | 314, 268 |
| 157, 134 |
∴ So the LCM of the given numbers is 2 x 2 x 157 x 134 = 84152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/84152
Therefore, the GCF of Fractions 8547/628,5830/536 is 11/84152
Least Common Multiple of 628,536 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 628,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(628,536) x common factors =4 x 1 = 4
LCM(628,536) = ( 628 × 536 ) / 4
LCM(628,536) = 336608 / 4
LCM(628,536) = 84152
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8547/628, 5830/536
1. What is the HCF of 8547,5830?
The HCF of 8547,5830 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 8547/628, 5830/536?
Answer: GCF of Numerators as per given numbers 8547/628, 5830/536 is
GCF of Numerators i.e. for 8547,5830 is 11
LCM of denominators i.e. for 628,536 is 84152.
Thus, GCF of Fractions is 11/84152.Finally, GCF of Fractions for 8547/628, 5830/536 is 11/84152.