GCF of 5206/555, 9439/4891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5206/555, 9439/4891 i.e 1/2714505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5206/555, 9439/4891.
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 5206/555,9439/4891?
Given fractions are 5206/555,9439/4891
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 5206/555,9439/4891, numerators are 5206,9439
Denominators are 555,4891
The GCF of 5206,9439 is 1 .
LCM of 555,4891 is 2714505.
The greatest common factor of 5206/555,9439/4891 = [GCF of 5206,9439]/[LCM of 555,4891]= 1/2714505
Therefore, the GCF of 5206/555,9439/4891 is 1/2714505.
To find the highest common factor of 5206,9439, we have to find the factors of both numbers and list the highest common factor.
The factors of 5206 are 1, 2, 19, 38, 137, 274, 2603, 5206
The factors of 9439 are 1, 9439
The HCF of 5206,9439 is 1.
Lets's calculate GCF of 5206,9439
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5206,9439 By Matching Biggest Common Factor Method
Now, list down the factors of 5206
:1,2,19,38,137,274,2603,5206
Now, list down the factors of 9439
:1,9439
Greatest Common Factor
We found the factors 5206,9439 . The biggest common factor number is the GCF number.
So the greatest common factor 5206,9439 is 1.
Lets's calculate LCM of 555,4891
Given numbers has no common factors except 1. So, there LCM is their product i.e 2714505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2714505
Therefore, the GCF of Fractions 5206/555,9439/4891 is 1/2714505
Least Common Multiple of 555,4891 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 555,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4891) x common factors =1 x 1 = 1
LCM(555,4891) = ( 555 × 4891 ) / 1
LCM(555,4891) = 2714505 / 1
LCM(555,4891) = 2714505
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5206/555, 9439/4891
1. What is the HCF of 5206,9439?
The HCF of 5206,9439 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 5206/555, 9439/4891?
Answer: GCF of Numerators as per given numbers 5206/555, 9439/4891 is
GCF of Numerators i.e. for 5206,9439 is 1
LCM of denominators i.e. for 555,4891 is 2714505.
Thus, GCF of Fractions is 1/2714505.Finally, GCF of Fractions for 5206/555, 9439/4891 is 1/2714505.