GCF of 8145/564, 6576/1370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8145/564, 6576/1370 i.e 3/386340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8145/564, 6576/1370.
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 8145/564,6576/1370?
Given fractions are 8145/564,6576/1370
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 8145/564,6576/1370, numerators are 8145,6576
Denominators are 564,1370
The GCF of 8145,6576 is 3 .
LCM of 564,1370 is 386340.
The greatest common factor of 8145/564,6576/1370 = [GCF of 8145,6576]/[LCM of 564,1370]= 3/386340
Therefore, the GCF of 8145/564,6576/1370 is 3/386340.
To find the highest common factor of 8145,6576, we have to find the factors of both numbers and list the highest common factor.
The factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145
The factors of 6576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 137, 274, 411, 548, 822, 1096, 1644, 2192, 3288, 6576
The HCF of 8145,6576 is 3.
Lets's calculate GCF of 8145,6576
| 3 | 8145, 6576 |
| 2715, 2192 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8145,6576 By Matching Biggest Common Factor Method
Now, list down the factors of 8145
:1,3,5,9,15,45,181,543,905,1629,2715,8145
Now, list down the factors of 6576
:1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 8145,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,6576 is 3.
Lets's calculate LCM of 564,1370
| 2 | 564, 1370 |
| 282, 685 |
∴ So the LCM of the given numbers is 2 x 282 x 685 = 386340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/386340
Therefore, the GCF of Fractions 8145/564,6576/1370 is 3/386340
Least Common Multiple of 564,1370 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 564,1370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,1370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,1370) x common factors =2 x 1 = 2
LCM(564,1370) = ( 564 × 1370 ) / 2
LCM(564,1370) = 772680 / 2
LCM(564,1370) = 386340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8145/564, 6576/1370
1. What is the HCF of 8145,6576?
The HCF of 8145,6576 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 8145/564, 6576/1370?
Answer: GCF of Numerators as per given numbers 8145/564, 6576/1370 is
GCF of Numerators i.e. for 8145,6576 is 3
LCM of denominators i.e. for 564,1370 is 386340.
Thus, GCF of Fractions is 3/386340.Finally, GCF of Fractions for 8145/564, 6576/1370 is 3/386340.