GCF of 7164/578, 8388/730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7164/578, 8388/730 i.e 36/210970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7164/578, 8388/730.
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 7164/578,8388/730?
Given fractions are 7164/578,8388/730
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 7164/578,8388/730, numerators are 7164,8388
Denominators are 578,730
The GCF of 7164,8388 is 36 .
LCM of 578,730 is 210970.
The greatest common factor of 7164/578,8388/730 = [GCF of 7164,8388]/[LCM of 578,730]= 36/210970
Therefore, the GCF of 7164/578,8388/730 is 36/210970.
To find the highest common factor of 7164,8388, we have to find the factors of both numbers and list the highest common factor.
The factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388
The HCF of 7164,8388 is 36.
Lets's calculate GCF of 7164,8388
| 2 | 7164, 8388 |
| 2 | 3582, 4194 |
| 3 | 1791, 2097 |
| 3 | 597, 699 |
| 199, 233 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 7164,8388 By Matching Biggest Common Factor Method
Now, list down the factors of 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Now, list down the factors of 8388
:1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 7164,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 7164,8388 is 36.
Lets's calculate LCM of 578,730
| 2 | 578, 730 |
| 289, 365 |
∴ So the LCM of the given numbers is 2 x 289 x 365 = 210970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/210970
Therefore, the GCF of Fractions 7164/578,8388/730 is 36/210970
Least Common Multiple of 578,730 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 578,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,730) x common factors =2 x 1 = 2
LCM(578,730) = ( 578 × 730 ) / 2
LCM(578,730) = 421940 / 2
LCM(578,730) = 210970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7164/578, 8388/730
1. What is the HCF of 7164,8388?
The HCF of 7164,8388 is 36
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 7164/578, 8388/730?
Answer: GCF of Numerators as per given numbers 7164/578, 8388/730 is
GCF of Numerators i.e. for 7164,8388 is 36
LCM of denominators i.e. for 578,730 is 210970.
Thus, GCF of Fractions is 36/210970.Finally, GCF of Fractions for 7164/578, 8388/730 is 36/210970.