GCF of 2712/801, 9204/9018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2712/801, 9204/9018 i.e 12/802602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2712/801, 9204/9018.
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 2712/801,9204/9018?
Given fractions are 2712/801,9204/9018
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 2712/801,9204/9018, numerators are 2712,9204
Denominators are 801,9018
The GCF of 2712,9204 is 12 .
LCM of 801,9018 is 802602.
The greatest common factor of 2712/801,9204/9018 = [GCF of 2712,9204]/[LCM of 801,9018]= 12/802602
Therefore, the GCF of 2712/801,9204/9018 is 12/802602.
To find the highest common factor of 2712,9204, we have to find the factors of both numbers and list the highest common factor.
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The HCF of 2712,9204 is 12.
Lets's calculate GCF of 2712,9204
| 2 | 2712, 9204 |
| 2 | 1356, 4602 |
| 3 | 678, 2301 |
| 226, 767 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2712,9204 By Matching Biggest Common Factor Method
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Greatest Common Factor
We found the factors 2712,9204 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,9204 is 12.
Lets's calculate LCM of 801,9018
| 3 | 801, 9018 |
| 3 | 267, 3006 |
| 89, 1002 |
∴ So the LCM of the given numbers is 3 x 3 x 89 x 1002 = 802602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/802602
Therefore, the GCF of Fractions 2712/801,9204/9018 is 12/802602
Least Common Multiple of 801,9018 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 801,9018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,9018) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(801,9018) x common factors =9 x 1 = 9
LCM(801,9018) = ( 801 × 9018 ) / 9
LCM(801,9018) = 7223418 / 9
LCM(801,9018) = 802602
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FAQs on GCF of Fractions of 2712/801, 9204/9018
1. What is the HCF of 2712,9204?
The HCF of 2712,9204 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 2712/801, 9204/9018?
Answer: GCF of Numerators as per given numbers 2712/801, 9204/9018 is
GCF of Numerators i.e. for 2712,9204 is 12
LCM of denominators i.e. for 801,9018 is 802602.
Thus, GCF of Fractions is 12/802602.Finally, GCF of Fractions for 2712/801, 9204/9018 is 12/802602.