GCF of 4527/472, 5355/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4527/472, 5355/484 i.e 9/57112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4527/472, 5355/484.
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 4527/472,5355/484?
Given fractions are 4527/472,5355/484
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 4527/472,5355/484, numerators are 4527,5355
Denominators are 472,484
The GCF of 4527,5355 is 9 .
LCM of 472,484 is 57112.
The greatest common factor of 4527/472,5355/484 = [GCF of 4527,5355]/[LCM of 472,484]= 9/57112
Therefore, the GCF of 4527/472,5355/484 is 9/57112.
To find the highest common factor of 4527,5355, we have to find the factors of both numbers and list the highest common factor.
The factors of 4527 are 1, 3, 9, 503, 1509, 4527
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The HCF of 4527,5355 is 9.
Lets's calculate GCF of 4527,5355
| 3 | 4527, 5355 |
| 3 | 1509, 1785 |
| 503, 595 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4527,5355 By Matching Biggest Common Factor Method
Now, list down the factors of 4527
:1,3,9,503,1509,4527
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Greatest Common Factor
We found the factors 4527,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 4527,5355 is 9.
Lets's calculate LCM of 472,484
| 2 | 472, 484 |
| 2 | 236, 242 |
| 118, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 118 x 121 = 57112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/57112
Therefore, the GCF of Fractions 4527/472,5355/484 is 9/57112
Least Common Multiple of 472,484 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 472,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(472,484) x common factors =4 x 1 = 4
LCM(472,484) = ( 472 × 484 ) / 4
LCM(472,484) = 228448 / 4
LCM(472,484) = 57112
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FAQs on GCF of Fractions of 4527/472, 5355/484
1. What is the HCF of 4527,5355?
The HCF of 4527,5355 is 9
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 4527/472, 5355/484?
Answer: GCF of Numerators as per given numbers 4527/472, 5355/484 is
GCF of Numerators i.e. for 4527,5355 is 9
LCM of denominators i.e. for 472,484 is 57112.
Thus, GCF of Fractions is 9/57112.Finally, GCF of Fractions for 4527/472, 5355/484 is 9/57112.