GCF of 7287/204, 9436/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7287/204, 9436/564 i.e 7/9588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7287/204, 9436/564.
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 7287/204,9436/564?
Given fractions are 7287/204,9436/564
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 7287/204,9436/564, numerators are 7287,9436
Denominators are 204,564
The GCF of 7287,9436 is 7 .
LCM of 204,564 is 9588.
The greatest common factor of 7287/204,9436/564 = [GCF of 7287,9436]/[LCM of 204,564]= 7/9588
Therefore, the GCF of 7287/204,9436/564 is 7/9588.
To find the highest common factor of 7287,9436, we have to find the factors of both numbers and list the highest common factor.
The factors of 7287 are 1, 3, 7, 21, 347, 1041, 2429, 7287
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The HCF of 7287,9436 is 7.
Lets's calculate GCF of 7287,9436
| 7 | 7287, 9436 |
| 1041, 1348 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7287,9436 By Matching Biggest Common Factor Method
Now, list down the factors of 7287
:1,3,7,21,347,1041,2429,7287
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Greatest Common Factor
We found the factors 7287,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 7287,9436 is 7.
Lets's calculate LCM of 204,564
| 2 | 204, 564 |
| 2 | 102, 282 |
| 3 | 51, 141 |
| 17, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 47 = 9588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9588
Therefore, the GCF of Fractions 7287/204,9436/564 is 7/9588
Least Common Multiple of 204,564 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 204,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,564) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(204,564) x common factors =12 x 1 = 12
LCM(204,564) = ( 204 × 564 ) / 12
LCM(204,564) = 115056 / 12
LCM(204,564) = 9588
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FAQs on GCF of Fractions of 7287/204, 9436/564
1. What is the HCF of 7287,9436?
The HCF of 7287,9436 is 7
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 7287/204, 9436/564?
Answer: GCF of Numerators as per given numbers 7287/204, 9436/564 is
GCF of Numerators i.e. for 7287,9436 is 7
LCM of denominators i.e. for 204,564 is 9588.
Thus, GCF of Fractions is 7/9588.Finally, GCF of Fractions for 7287/204, 9436/564 is 7/9588.