GCF of 5963/338, 4112/1789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5963/338, 4112/1789 i.e 1/604682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5963/338, 4112/1789.
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 5963/338,4112/1789?
Given fractions are 5963/338,4112/1789
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 5963/338,4112/1789, numerators are 5963,4112
Denominators are 338,1789
The GCF of 5963,4112 is 1 .
LCM of 338,1789 is 604682.
The greatest common factor of 5963/338,4112/1789 = [GCF of 5963,4112]/[LCM of 338,1789]= 1/604682
Therefore, the GCF of 5963/338,4112/1789 is 1/604682.
To find the highest common factor of 5963,4112, we have to find the factors of both numbers and list the highest common factor.
The factors of 5963 are 1, 67, 89, 5963
The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112
The HCF of 5963,4112 is 1.
Lets's calculate GCF of 5963,4112
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5963,4112 By Matching Biggest Common Factor Method
Now, list down the factors of 5963
:1,67,89,5963
Now, list down the factors of 4112
:1,2,4,8,16,257,514,1028,2056,4112
Greatest Common Factor
We found the factors 5963,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 5963,4112 is 1.
Lets's calculate LCM of 338,1789
Given numbers has no common factors except 1. So, there LCM is their product i.e 604682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604682
Therefore, the GCF of Fractions 5963/338,4112/1789 is 1/604682
Least Common Multiple of 338,1789 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 338,1789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,1789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,1789) x common factors =1 x 1 = 1
LCM(338,1789) = ( 338 × 1789 ) / 1
LCM(338,1789) = 604682 / 1
LCM(338,1789) = 604682
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5963/338, 4112/1789
1. What is the HCF of 5963,4112?
The HCF of 5963,4112 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 5963/338, 4112/1789?
Answer: GCF of Numerators as per given numbers 5963/338, 4112/1789 is
GCF of Numerators i.e. for 5963,4112 is 1
LCM of denominators i.e. for 338,1789 is 604682.
Thus, GCF of Fractions is 1/604682.Finally, GCF of Fractions for 5963/338, 4112/1789 is 1/604682.