GCF of 3193/916, 4068/3455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3193/916, 4068/3455 i.e 1/3164780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3193/916, 4068/3455.
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 3193/916,4068/3455?
Given fractions are 3193/916,4068/3455
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 3193/916,4068/3455, numerators are 3193,4068
Denominators are 916,3455
The GCF of 3193,4068 is 1 .
LCM of 916,3455 is 3164780.
The greatest common factor of 3193/916,4068/3455 = [GCF of 3193,4068]/[LCM of 916,3455]= 1/3164780
Therefore, the GCF of 3193/916,4068/3455 is 1/3164780.
To find the highest common factor of 3193,4068, we have to find the factors of both numbers and list the highest common factor.
The factors of 3193 are 1, 31, 103, 3193
The factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068
The HCF of 3193,4068 is 1.
Lets's calculate GCF of 3193,4068
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3193,4068 By Matching Biggest Common Factor Method
Now, list down the factors of 3193
:1,31,103,3193
Now, list down the factors of 4068
:1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068
Greatest Common Factor
We found the factors 3193,4068 . The biggest common factor number is the GCF number.
So the greatest common factor 3193,4068 is 1.
Lets's calculate LCM of 916,3455
Given numbers has no common factors except 1. So, there LCM is their product i.e 3164780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3164780
Therefore, the GCF of Fractions 3193/916,4068/3455 is 1/3164780
Least Common Multiple of 916,3455 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 916,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,3455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,3455) x common factors =1 x 1 = 1
LCM(916,3455) = ( 916 × 3455 ) / 1
LCM(916,3455) = 3164780 / 1
LCM(916,3455) = 3164780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3193/916, 4068/3455
1. What is the HCF of 3193,4068?
The HCF of 3193,4068 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 3193/916, 4068/3455?
Answer: GCF of Numerators as per given numbers 3193/916, 4068/3455 is
GCF of Numerators i.e. for 3193,4068 is 1
LCM of denominators i.e. for 916,3455 is 3164780.
Thus, GCF of Fractions is 1/3164780.Finally, GCF of Fractions for 3193/916, 4068/3455 is 1/3164780.