GCF of 2712/592, 9984/5676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2712/592, 9984/5676 i.e 24/840048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2712/592, 9984/5676.
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 2712/592,9984/5676?
Given fractions are 2712/592,9984/5676
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 2712/592,9984/5676, numerators are 2712,9984
Denominators are 592,5676
The GCF of 2712,9984 is 24 .
LCM of 592,5676 is 840048.
The greatest common factor of 2712/592,9984/5676 = [GCF of 2712,9984]/[LCM of 592,5676]= 24/840048
Therefore, the GCF of 2712/592,9984/5676 is 24/840048.
To find the highest common factor of 2712,9984, 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 9984 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 624, 768, 832, 1248, 1664, 2496, 3328, 4992, 9984
The HCF of 2712,9984 is 24.
Lets's calculate GCF of 2712,9984
| 2 | 2712, 9984 |
| 2 | 1356, 4992 |
| 2 | 678, 2496 |
| 3 | 339, 1248 |
| 113, 416 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 2712,9984 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 9984
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984
Greatest Common Factor
We found the factors 2712,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,9984 is 24.
Lets's calculate LCM of 592,5676
| 2 | 592, 5676 |
| 2 | 296, 2838 |
| 148, 1419 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 1419 = 840048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/840048
Therefore, the GCF of Fractions 2712/592,9984/5676 is 24/840048
Least Common Multiple of 592,5676 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 592,5676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,5676) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(592,5676) x common factors =4 x 1 = 4
LCM(592,5676) = ( 592 × 5676 ) / 4
LCM(592,5676) = 3360192 / 4
LCM(592,5676) = 840048
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2712/592, 9984/5676
1. What is the HCF of 2712,9984?
The HCF of 2712,9984 is 24
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 2712/592, 9984/5676?
Answer: GCF of Numerators as per given numbers 2712/592, 9984/5676 is
GCF of Numerators i.e. for 2712,9984 is 24
LCM of denominators i.e. for 592,5676 is 840048.
Thus, GCF of Fractions is 24/840048.Finally, GCF of Fractions for 2712/592, 9984/5676 is 24/840048.