GCF of 2341/794, 4122/3357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2341/794, 4122/3357 i.e 1/2665458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2341/794, 4122/3357.
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 2341/794,4122/3357?
Given fractions are 2341/794,4122/3357
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 2341/794,4122/3357, numerators are 2341,4122
Denominators are 794,3357
The GCF of 2341,4122 is 1 .
LCM of 794,3357 is 2665458.
The greatest common factor of 2341/794,4122/3357 = [GCF of 2341,4122]/[LCM of 794,3357]= 1/2665458
Therefore, the GCF of 2341/794,4122/3357 is 1/2665458.
To find the highest common factor of 2341,4122, we have to find the factors of both numbers and list the highest common factor.
The factors of 2341 are 1, 2341
The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122
The HCF of 2341,4122 is 1.
Lets's calculate GCF of 2341,4122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2341,4122 By Matching Biggest Common Factor Method
Now, list down the factors of 2341
:1,2341
Now, list down the factors of 4122
:1,2,3,6,9,18,229,458,687,1374,2061,4122
Greatest Common Factor
We found the factors 2341,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,4122 is 1.
Lets's calculate LCM of 794,3357
Given numbers has no common factors except 1. So, there LCM is their product i.e 2665458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2665458
Therefore, the GCF of Fractions 2341/794,4122/3357 is 1/2665458
Least Common Multiple of 794,3357 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 794,3357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,3357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,3357) x common factors =1 x 1 = 1
LCM(794,3357) = ( 794 × 3357 ) / 1
LCM(794,3357) = 2665458 / 1
LCM(794,3357) = 2665458
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2341/794, 4122/3357
1. What is the HCF of 2341,4122?
The HCF of 2341,4122 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 2341/794, 4122/3357?
Answer: GCF of Numerators as per given numbers 2341/794, 4122/3357 is
GCF of Numerators i.e. for 2341,4122 is 1
LCM of denominators i.e. for 794,3357 is 2665458.
Thus, GCF of Fractions is 1/2665458.Finally, GCF of Fractions for 2341/794, 4122/3357 is 1/2665458.