GCF of 9084/529, 2412/4509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9084/529, 2412/4509 i.e 12/2385261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9084/529, 2412/4509.
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 9084/529,2412/4509?
Given fractions are 9084/529,2412/4509
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 9084/529,2412/4509, numerators are 9084,2412
Denominators are 529,4509
The GCF of 9084,2412 is 12 .
LCM of 529,4509 is 2385261.
The greatest common factor of 9084/529,2412/4509 = [GCF of 9084,2412]/[LCM of 529,4509]= 12/2385261
Therefore, the GCF of 9084/529,2412/4509 is 12/2385261.
To find the highest common factor of 9084,2412, we have to find the factors of both numbers and list the highest common factor.
The factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084
The factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412
The HCF of 9084,2412 is 12.
Lets's calculate GCF of 9084,2412
| 2 | 9084, 2412 |
| 2 | 4542, 1206 |
| 3 | 2271, 603 |
| 757, 201 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9084,2412 By Matching Biggest Common Factor Method
Now, list down the factors of 9084
:1,2,3,4,6,12,757,1514,2271,3028,4542,9084
Now, list down the factors of 2412
:1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412
Greatest Common Factor
We found the factors 9084,2412 . The biggest common factor number is the GCF number.
So the greatest common factor 9084,2412 is 12.
Lets's calculate LCM of 529,4509
Given numbers has no common factors except 1. So, there LCM is their product i.e 2385261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2385261
Therefore, the GCF of Fractions 9084/529,2412/4509 is 12/2385261
Least Common Multiple of 529,4509 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 529,4509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,4509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,4509) x common factors =1 x 1 = 1
LCM(529,4509) = ( 529 × 4509 ) / 1
LCM(529,4509) = 2385261 / 1
LCM(529,4509) = 2385261
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FAQs on GCF of Fractions of 9084/529, 2412/4509
1. What is the HCF of 9084,2412?
The HCF of 9084,2412 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 9084/529, 2412/4509?
Answer: GCF of Numerators as per given numbers 9084/529, 2412/4509 is
GCF of Numerators i.e. for 9084,2412 is 12
LCM of denominators i.e. for 529,4509 is 2385261.
Thus, GCF of Fractions is 12/2385261.Finally, GCF of Fractions for 9084/529, 2412/4509 is 12/2385261.