GCF of 2724/480, 2112/4432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2724/480, 2112/4432 i.e 12/132960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2724/480, 2112/4432.
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 2724/480,2112/4432?
Given fractions are 2724/480,2112/4432
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 2724/480,2112/4432, numerators are 2724,2112
Denominators are 480,4432
The GCF of 2724,2112 is 12 .
LCM of 480,4432 is 132960.
The greatest common factor of 2724/480,2112/4432 = [GCF of 2724,2112]/[LCM of 480,4432]= 12/132960
Therefore, the GCF of 2724/480,2112/4432 is 12/132960.
To find the highest common factor of 2724,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 2724,2112 is 12.
Lets's calculate GCF of 2724,2112
| 2 | 2724, 2112 |
| 2 | 1362, 1056 |
| 3 | 681, 528 |
| 227, 176 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2724,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 2724
:1,2,3,4,6,12,227,454,681,908,1362,2724
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 2724,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 2724,2112 is 12.
Lets's calculate LCM of 480,4432
| 2 | 480, 4432 |
| 2 | 240, 2216 |
| 2 | 120, 1108 |
| 2 | 60, 554 |
| 30, 277 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 30 x 277 = 132960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/132960
Therefore, the GCF of Fractions 2724/480,2112/4432 is 12/132960
Least Common Multiple of 480,4432 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 480,4432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,4432) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(480,4432) x common factors =16 x 1 = 16
LCM(480,4432) = ( 480 × 4432 ) / 16
LCM(480,4432) = 2127360 / 16
LCM(480,4432) = 132960
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FAQs on GCF of Fractions of 2724/480, 2112/4432
1. What is the HCF of 2724,2112?
The HCF of 2724,2112 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 2724/480, 2112/4432?
Answer: GCF of Numerators as per given numbers 2724/480, 2112/4432 is
GCF of Numerators i.e. for 2724,2112 is 12
LCM of denominators i.e. for 480,4432 is 132960.
Thus, GCF of Fractions is 12/132960.Finally, GCF of Fractions for 2724/480, 2112/4432 is 12/132960.