GCF of 5412/848, 2112/3129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5412/848, 2112/3129 i.e 132/2653392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5412/848, 2112/3129.
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 5412/848,2112/3129?
Given fractions are 5412/848,2112/3129
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 5412/848,2112/3129, numerators are 5412,2112
Denominators are 848,3129
The GCF of 5412,2112 is 132 .
LCM of 848,3129 is 2653392.
The greatest common factor of 5412/848,2112/3129 = [GCF of 5412,2112]/[LCM of 848,3129]= 132/2653392
Therefore, the GCF of 5412/848,2112/3129 is 132/2653392.
To find the highest common factor of 5412,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
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 5412,2112 is 132.
Lets's calculate GCF of 5412,2112
| 2 | 5412, 2112 |
| 2 | 2706, 1056 |
| 3 | 1353, 528 |
| 11 | 451, 176 |
| 41, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Greatest Common Factor of 5412,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
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 5412,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 5412,2112 is 132.
Lets's calculate LCM of 848,3129
Given numbers has no common factors except 1. So, there LCM is their product i.e 2653392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/2653392
Therefore, the GCF of Fractions 5412/848,2112/3129 is 132/2653392
Least Common Multiple of 848,3129 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 848,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,3129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(848,3129) x common factors =1 x 1 = 1
LCM(848,3129) = ( 848 × 3129 ) / 1
LCM(848,3129) = 2653392 / 1
LCM(848,3129) = 2653392
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FAQs on GCF of Fractions of 5412/848, 2112/3129
1. What is the HCF of 5412,2112?
The HCF of 5412,2112 is 132
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 5412/848, 2112/3129?
Answer: GCF of Numerators as per given numbers 5412/848, 2112/3129 is
GCF of Numerators i.e. for 5412,2112 is 132
LCM of denominators i.e. for 848,3129 is 2653392.
Thus, GCF of Fractions is 132/2653392.Finally, GCF of Fractions for 5412/848, 2112/3129 is 132/2653392.