GCF of 9546/864, 2730/1252
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9546/864, 2730/1252 i.e 6/270432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9546/864, 2730/1252.
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 9546/864,2730/1252?
Given fractions are 9546/864,2730/1252
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 9546/864,2730/1252, numerators are 9546,2730
Denominators are 864,1252
The GCF of 9546,2730 is 6 .
LCM of 864,1252 is 270432.
The greatest common factor of 9546/864,2730/1252 = [GCF of 9546,2730]/[LCM of 864,1252]= 6/270432
Therefore, the GCF of 9546/864,2730/1252 is 6/270432.
To find the highest common factor of 9546,2730, we have to find the factors of both numbers and list the highest common factor.
The factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
The factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730
The HCF of 9546,2730 is 6.
Lets's calculate GCF of 9546,2730
| 2 | 9546, 2730 |
| 3 | 4773, 1365 |
| 1591, 455 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9546,2730 By Matching Biggest Common Factor Method
Now, list down the factors of 9546
:1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Now, list down the factors of 2730
:1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Greatest Common Factor
We found the factors 9546,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 9546,2730 is 6.
Lets's calculate LCM of 864,1252
| 2 | 864, 1252 |
| 2 | 432, 626 |
| 216, 313 |
∴ So the LCM of the given numbers is 2 x 2 x 216 x 313 = 270432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/270432
Therefore, the GCF of Fractions 9546/864,2730/1252 is 6/270432
Least Common Multiple of 864,1252 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 864,1252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,1252) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(864,1252) x common factors =4 x 1 = 4
LCM(864,1252) = ( 864 × 1252 ) / 4
LCM(864,1252) = 1081728 / 4
LCM(864,1252) = 270432
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FAQs on GCF of Fractions of 9546/864, 2730/1252
1. What is the HCF of 9546,2730?
The HCF of 9546,2730 is 6
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 9546/864, 2730/1252?
Answer: GCF of Numerators as per given numbers 9546/864, 2730/1252 is
GCF of Numerators i.e. for 9546,2730 is 6
LCM of denominators i.e. for 864,1252 is 270432.
Thus, GCF of Fractions is 6/270432.Finally, GCF of Fractions for 9546/864, 2730/1252 is 6/270432.