GCF of 5918/170, 7041/8343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5918/170, 7041/8343 i.e 1/1418310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5918/170, 7041/8343.
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 5918/170,7041/8343?
Given fractions are 5918/170,7041/8343
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 5918/170,7041/8343, numerators are 5918,7041
Denominators are 170,8343
The GCF of 5918,7041 is 1 .
LCM of 170,8343 is 1418310.
The greatest common factor of 5918/170,7041/8343 = [GCF of 5918,7041]/[LCM of 170,8343]= 1/1418310
Therefore, the GCF of 5918/170,7041/8343 is 1/1418310.
To find the highest common factor of 5918,7041, we have to find the factors of both numbers and list the highest common factor.
The factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918
The factors of 7041 are 1, 3, 2347, 7041
The HCF of 5918,7041 is 1.
Lets's calculate GCF of 5918,7041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5918,7041 By Matching Biggest Common Factor Method
Now, list down the factors of 5918
:1,2,11,22,269,538,2959,5918
Now, list down the factors of 7041
:1,3,2347,7041
Greatest Common Factor
We found the factors 5918,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 5918,7041 is 1.
Lets's calculate LCM of 170,8343
Given numbers has no common factors except 1. So, there LCM is their product i.e 1418310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418310
Therefore, the GCF of Fractions 5918/170,7041/8343 is 1/1418310
Least Common Multiple of 170,8343 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 170,8343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,8343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,8343) x common factors =1 x 1 = 1
LCM(170,8343) = ( 170 × 8343 ) / 1
LCM(170,8343) = 1418310 / 1
LCM(170,8343) = 1418310
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5918/170, 7041/8343
1. What is the HCF of 5918,7041?
The HCF of 5918,7041 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 5918/170, 7041/8343?
Answer: GCF of Numerators as per given numbers 5918/170, 7041/8343 is
GCF of Numerators i.e. for 5918,7041 is 1
LCM of denominators i.e. for 170,8343 is 1418310.
Thus, GCF of Fractions is 1/1418310.Finally, GCF of Fractions for 5918/170, 7041/8343 is 1/1418310.