GCF of 5942/523, 8639/3071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5942/523, 8639/3071 i.e 1/1606133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5942/523, 8639/3071.
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 5942/523,8639/3071?
Given fractions are 5942/523,8639/3071
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 5942/523,8639/3071, numerators are 5942,8639
Denominators are 523,3071
The GCF of 5942,8639 is 1 .
LCM of 523,3071 is 1606133.
The greatest common factor of 5942/523,8639/3071 = [GCF of 5942,8639]/[LCM of 523,3071]= 1/1606133
Therefore, the GCF of 5942/523,8639/3071 is 1/1606133.
To find the highest common factor of 5942,8639, we have to find the factors of both numbers and list the highest common factor.
The factors of 5942 are 1, 2, 2971, 5942
The factors of 8639 are 1, 53, 163, 8639
The HCF of 5942,8639 is 1.
Lets's calculate GCF of 5942,8639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5942,8639 By Matching Biggest Common Factor Method
Now, list down the factors of 5942
:1,2,2971,5942
Now, list down the factors of 8639
:1,53,163,8639
Greatest Common Factor
We found the factors 5942,8639 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,8639 is 1.
Lets's calculate LCM of 523,3071
Given numbers has no common factors except 1. So, there LCM is their product i.e 1606133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1606133
Therefore, the GCF of Fractions 5942/523,8639/3071 is 1/1606133
Least Common Multiple of 523,3071 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 523,3071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,3071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,3071) x common factors =1 x 1 = 1
LCM(523,3071) = ( 523 × 3071 ) / 1
LCM(523,3071) = 1606133 / 1
LCM(523,3071) = 1606133
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5942/523, 8639/3071
1. What is the HCF of 5942,8639?
The HCF of 5942,8639 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 5942/523, 8639/3071?
Answer: GCF of Numerators as per given numbers 5942/523, 8639/3071 is
GCF of Numerators i.e. for 5942,8639 is 1
LCM of denominators i.e. for 523,3071 is 1606133.
Thus, GCF of Fractions is 1/1606133.Finally, GCF of Fractions for 5942/523, 8639/3071 is 1/1606133.