GCF of 3612/438, 6291/8051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3612/438, 6291/8051 i.e 3/3526338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3612/438, 6291/8051.
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 3612/438,6291/8051?
Given fractions are 3612/438,6291/8051
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 3612/438,6291/8051, numerators are 3612,6291
Denominators are 438,8051
The GCF of 3612,6291 is 3 .
LCM of 438,8051 is 3526338.
The greatest common factor of 3612/438,6291/8051 = [GCF of 3612,6291]/[LCM of 438,8051]= 3/3526338
Therefore, the GCF of 3612/438,6291/8051 is 3/3526338.
To find the highest common factor of 3612,6291, 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 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291
The HCF of 3612,6291 is 3.
Lets's calculate GCF of 3612,6291
| 3 | 3612, 6291 |
| 1204, 2097 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3612,6291 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 6291
:1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 3612,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 3612,6291 is 3.
Lets's calculate LCM of 438,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 3526338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3526338
Therefore, the GCF of Fractions 3612/438,6291/8051 is 3/3526338
Least Common Multiple of 438,8051 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 438,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,8051) x common factors =1 x 1 = 1
LCM(438,8051) = ( 438 × 8051 ) / 1
LCM(438,8051) = 3526338 / 1
LCM(438,8051) = 3526338
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FAQs on GCF of Fractions of 3612/438, 6291/8051
1. What is the HCF of 3612,6291?
The HCF of 3612,6291 is 3
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 3612/438, 6291/8051?
Answer: GCF of Numerators as per given numbers 3612/438, 6291/8051 is
GCF of Numerators i.e. for 3612,6291 is 3
LCM of denominators i.e. for 438,8051 is 3526338.
Thus, GCF of Fractions is 3/3526338.Finally, GCF of Fractions for 3612/438, 6291/8051 is 3/3526338.