GCF of 1545/360, 6966/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1545/360, 6966/324 i.e 3/3240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1545/360, 6966/324.
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 1545/360,6966/324?
Given fractions are 1545/360,6966/324
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 1545/360,6966/324, numerators are 1545,6966
Denominators are 360,324
The GCF of 1545,6966 is 3 .
LCM of 360,324 is 3240.
The greatest common factor of 1545/360,6966/324 = [GCF of 1545,6966]/[LCM of 360,324]= 3/3240
Therefore, the GCF of 1545/360,6966/324 is 3/3240.
To find the highest common factor of 1545,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 1545 are 1, 3, 5, 15, 103, 309, 515, 1545
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 1545,6966 is 3.
Lets's calculate GCF of 1545,6966
| 3 | 1545, 6966 |
| 515, 2322 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1545,6966 By Matching Biggest Common Factor Method
Now, list down the factors of 1545
:1,3,5,15,103,309,515,1545
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 1545,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 1545,6966 is 3.
Lets's calculate LCM of 360,324
| 2 | 360, 324 |
| 2 | 180, 162 |
| 3 | 90, 81 |
| 3 | 30, 27 |
| 10, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 9 = 3240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3240
Therefore, the GCF of Fractions 1545/360,6966/324 is 3/3240
Least Common Multiple of 360,324 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 360,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,324) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(360,324) x common factors =36 x 1 = 36
LCM(360,324) = ( 360 × 324 ) / 36
LCM(360,324) = 116640 / 36
LCM(360,324) = 3240
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FAQs on GCF of Fractions of 1545/360, 6966/324
1. What is the HCF of 1545,6966?
The HCF of 1545,6966 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 1545/360, 6966/324?
Answer: GCF of Numerators as per given numbers 1545/360, 6966/324 is
GCF of Numerators i.e. for 1545,6966 is 3
LCM of denominators i.e. for 360,324 is 3240.
Thus, GCF of Fractions is 3/3240.Finally, GCF of Fractions for 1545/360, 6966/324 is 3/3240.