GCF of 3186/345, 9982/4386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3186/345, 9982/4386 i.e 2/504390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3186/345, 9982/4386.
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 3186/345,9982/4386?
Given fractions are 3186/345,9982/4386
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 3186/345,9982/4386, numerators are 3186,9982
Denominators are 345,4386
The GCF of 3186,9982 is 2 .
LCM of 345,4386 is 504390.
The greatest common factor of 3186/345,9982/4386 = [GCF of 3186,9982]/[LCM of 345,4386]= 2/504390
Therefore, the GCF of 3186/345,9982/4386 is 2/504390.
To find the highest common factor of 3186,9982, 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 9982 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 1426, 4991, 9982
The HCF of 3186,9982 is 2.
Lets's calculate GCF of 3186,9982
| 2 | 3186, 9982 |
| 1593, 4991 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3186,9982 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 9982
:1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982
Greatest Common Factor
We found the factors 3186,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 3186,9982 is 2.
Lets's calculate LCM of 345,4386
| 3 | 345, 4386 |
| 115, 1462 |
∴ So the LCM of the given numbers is 3 x 115 x 1462 = 504390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504390
Therefore, the GCF of Fractions 3186/345,9982/4386 is 2/504390
Least Common Multiple of 345,4386 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 345,4386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,4386) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,4386) x common factors =3 x 1 = 3
LCM(345,4386) = ( 345 × 4386 ) / 3
LCM(345,4386) = 1513170 / 3
LCM(345,4386) = 504390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3186/345, 9982/4386
1. What is the HCF of 3186,9982?
The HCF of 3186,9982 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 3186/345, 9982/4386?
Answer: GCF of Numerators as per given numbers 3186/345, 9982/4386 is
GCF of Numerators i.e. for 3186,9982 is 2
LCM of denominators i.e. for 345,4386 is 504390.
Thus, GCF of Fractions is 2/504390.Finally, GCF of Fractions for 3186/345, 9982/4386 is 2/504390.