GCF of 3186/462, 3494/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3186/462, 3494/229 i.e 2/105798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3186/462, 3494/229.
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 3186/462,3494/229?
Given fractions are 3186/462,3494/229
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 3186/462,3494/229, numerators are 3186,3494
Denominators are 462,229
The GCF of 3186,3494 is 2 .
LCM of 462,229 is 105798.
The greatest common factor of 3186/462,3494/229 = [GCF of 3186,3494]/[LCM of 462,229]= 2/105798
Therefore, the GCF of 3186/462,3494/229 is 2/105798.
To find the highest common factor of 3186,3494, we have to find the factors of both numbers and list the highest common factor.
The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186
The factors of 3494 are 1, 2, 1747, 3494
The HCF of 3186,3494 is 2.
Lets's calculate GCF of 3186,3494
| 2 | 3186, 3494 |
| 1593, 1747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3186,3494 By Matching Biggest Common Factor Method
Now, list down the factors of 3186
:1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186
Now, list down the factors of 3494
:1,2,1747,3494
Greatest Common Factor
We found the factors 3186,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 3186,3494 is 2.
Lets's calculate LCM of 462,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 105798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105798
Therefore, the GCF of Fractions 3186/462,3494/229 is 2/105798
Least Common Multiple of 462,229 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 462,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,229) x common factors =1 x 1 = 1
LCM(462,229) = ( 462 × 229 ) / 1
LCM(462,229) = 105798 / 1
LCM(462,229) = 105798
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FAQs on GCF of Fractions of 3186/462, 3494/229
1. What is the HCF of 3186,3494?
The HCF of 3186,3494 is 2
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 3186/462, 3494/229?
Answer: GCF of Numerators as per given numbers 3186/462, 3494/229 is
GCF of Numerators i.e. for 3186,3494 is 2
LCM of denominators i.e. for 462,229 is 105798.
Thus, GCF of Fractions is 2/105798.Finally, GCF of Fractions for 3186/462, 3494/229 is 2/105798.