GCF of 3986/614, 6993/8118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3986/614, 6993/8118 i.e 1/2492226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3986/614, 6993/8118.
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 3986/614,6993/8118?
Given fractions are 3986/614,6993/8118
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 3986/614,6993/8118, numerators are 3986,6993
Denominators are 614,8118
The GCF of 3986,6993 is 1 .
LCM of 614,8118 is 2492226.
The greatest common factor of 3986/614,6993/8118 = [GCF of 3986,6993]/[LCM of 614,8118]= 1/2492226
Therefore, the GCF of 3986/614,6993/8118 is 1/2492226.
To find the highest common factor of 3986,6993, we have to find the factors of both numbers and list the highest common factor.
The factors of 3986 are 1, 2, 1993, 3986
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The HCF of 3986,6993 is 1.
Lets's calculate GCF of 3986,6993
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3986,6993 By Matching Biggest Common Factor Method
Now, list down the factors of 3986
:1,2,1993,3986
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Greatest Common Factor
We found the factors 3986,6993 . The biggest common factor number is the GCF number.
So the greatest common factor 3986,6993 is 1.
Lets's calculate LCM of 614,8118
| 2 | 614, 8118 |
| 307, 4059 |
∴ So the LCM of the given numbers is 2 x 307 x 4059 = 2492226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2492226
Therefore, the GCF of Fractions 3986/614,6993/8118 is 1/2492226
Least Common Multiple of 614,8118 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 614,8118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,8118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,8118) x common factors =2 x 1 = 2
LCM(614,8118) = ( 614 × 8118 ) / 2
LCM(614,8118) = 4984452 / 2
LCM(614,8118) = 2492226
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FAQs on GCF of Fractions of 3986/614, 6993/8118
1. What is the HCF of 3986,6993?
The HCF of 3986,6993 is 1
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 3986/614, 6993/8118?
Answer: GCF of Numerators as per given numbers 3986/614, 6993/8118 is
GCF of Numerators i.e. for 3986,6993 is 1
LCM of denominators i.e. for 614,8118 is 2492226.
Thus, GCF of Fractions is 1/2492226.Finally, GCF of Fractions for 3986/614, 6993/8118 is 1/2492226.