GCF of 6993/311, 3979/5569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6993/311, 3979/5569 i.e 1/1731959 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6993/311, 3979/5569.
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 6993/311,3979/5569?
Given fractions are 6993/311,3979/5569
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 6993/311,3979/5569, numerators are 6993,3979
Denominators are 311,5569
The GCF of 6993,3979 is 1 .
LCM of 311,5569 is 1731959.
The greatest common factor of 6993/311,3979/5569 = [GCF of 6993,3979]/[LCM of 311,5569]= 1/1731959
Therefore, the GCF of 6993/311,3979/5569 is 1/1731959.
To find the highest common factor of 6993,3979, we have to find the factors of both numbers and list the highest common factor.
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The factors of 3979 are 1, 23, 173, 3979
The HCF of 6993,3979 is 1.
Lets's calculate GCF of 6993,3979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6993,3979 By Matching Biggest Common Factor Method
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Now, list down the factors of 3979
:1,23,173,3979
Greatest Common Factor
We found the factors 6993,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,3979 is 1.
Lets's calculate LCM of 311,5569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1731959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1731959
Therefore, the GCF of Fractions 6993/311,3979/5569 is 1/1731959
Least Common Multiple of 311,5569 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 311,5569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,5569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,5569) x common factors =1 x 1 = 1
LCM(311,5569) = ( 311 × 5569 ) / 1
LCM(311,5569) = 1731959 / 1
LCM(311,5569) = 1731959
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6993/311, 3979/5569
1. What is the HCF of 6993,3979?
The HCF of 6993,3979 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 6993/311, 3979/5569?
Answer: GCF of Numerators as per given numbers 6993/311, 3979/5569 is
GCF of Numerators i.e. for 6993,3979 is 1
LCM of denominators i.e. for 311,5569 is 1731959.
Thus, GCF of Fractions is 1/1731959.Finally, GCF of Fractions for 6993/311, 3979/5569 is 1/1731959.