GCF of 3612/543, 7116/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3612/543, 7116/144 i.e 12/26064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3612/543, 7116/144.
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 3612/543,7116/144?
Given fractions are 3612/543,7116/144
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 3612/543,7116/144, numerators are 3612,7116
Denominators are 543,144
The GCF of 3612,7116 is 12 .
LCM of 543,144 is 26064.
The greatest common factor of 3612/543,7116/144 = [GCF of 3612,7116]/[LCM of 543,144]= 12/26064
Therefore, the GCF of 3612/543,7116/144 is 12/26064.
To find the highest common factor of 3612,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 3612,7116 is 12.
Lets's calculate GCF of 3612,7116
| 2 | 3612, 7116 |
| 2 | 1806, 3558 |
| 3 | 903, 1779 |
| 301, 593 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3612,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 3612
:1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 3612,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 3612,7116 is 12.
Lets's calculate LCM of 543,144
| 3 | 543, 144 |
| 181, 48 |
∴ So the LCM of the given numbers is 3 x 181 x 48 = 26064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/26064
Therefore, the GCF of Fractions 3612/543,7116/144 is 12/26064
Least Common Multiple of 543,144 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 543,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,144) x common factors =3 x 1 = 3
LCM(543,144) = ( 543 × 144 ) / 3
LCM(543,144) = 78192 / 3
LCM(543,144) = 26064
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FAQs on GCF of Fractions of 3612/543, 7116/144
1. What is the HCF of 3612,7116?
The HCF of 3612,7116 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 3612/543, 7116/144?
Answer: GCF of Numerators as per given numbers 3612/543, 7116/144 is
GCF of Numerators i.e. for 3612,7116 is 12
LCM of denominators i.e. for 543,144 is 26064.
Thus, GCF of Fractions is 12/26064.Finally, GCF of Fractions for 3612/543, 7116/144 is 12/26064.