GCF of 9264/561, 4140/6585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9264/561, 4140/6585 i.e 12/1231395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9264/561, 4140/6585.
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 9264/561,4140/6585?
Given fractions are 9264/561,4140/6585
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 9264/561,4140/6585, numerators are 9264,4140
Denominators are 561,6585
The GCF of 9264,4140 is 12 .
LCM of 561,6585 is 1231395.
The greatest common factor of 9264/561,4140/6585 = [GCF of 9264,4140]/[LCM of 561,6585]= 12/1231395
Therefore, the GCF of 9264/561,4140/6585 is 12/1231395.
To find the highest common factor of 9264,4140, we have to find the factors of both numbers and list the highest common factor.
The factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264
The factors of 4140 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46, 60, 69, 90, 92, 115, 138, 180, 207, 230, 276, 345, 414, 460, 690, 828, 1035, 1380, 2070, 4140
The HCF of 9264,4140 is 12.
Lets's calculate GCF of 9264,4140
| 2 | 9264, 4140 |
| 2 | 4632, 2070 |
| 3 | 2316, 1035 |
| 772, 345 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9264,4140 By Matching Biggest Common Factor Method
Now, list down the factors of 9264
:1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Now, list down the factors of 4140
:1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140
Greatest Common Factor
We found the factors 9264,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 9264,4140 is 12.
Lets's calculate LCM of 561,6585
| 3 | 561, 6585 |
| 187, 2195 |
∴ So the LCM of the given numbers is 3 x 187 x 2195 = 1231395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1231395
Therefore, the GCF of Fractions 9264/561,4140/6585 is 12/1231395
Least Common Multiple of 561,6585 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 561,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,6585) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,6585) x common factors =3 x 1 = 3
LCM(561,6585) = ( 561 × 6585 ) / 3
LCM(561,6585) = 3694185 / 3
LCM(561,6585) = 1231395
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9264/561, 4140/6585
1. What is the HCF of 9264,4140?
The HCF of 9264,4140 is 12
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 9264/561, 4140/6585?
Answer: GCF of Numerators as per given numbers 9264/561, 4140/6585 is
GCF of Numerators i.e. for 9264,4140 is 12
LCM of denominators i.e. for 561,6585 is 1231395.
Thus, GCF of Fractions is 12/1231395.Finally, GCF of Fractions for 9264/561, 4140/6585 is 12/1231395.