Use our free GCF of Fractions Calculator tool to compute the GCF of 5403/485, 9854/519 i.e 1/251715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5403/485, 9854/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5403/485,9854/519
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 5403/485,9854/519, numerators are 5403,9854
Denominators are 485,519
The GCF of 5403,9854 is 1 .
LCM of 485,519 is 251715.
The greatest common factor of 5403/485,9854/519 = [GCF of 5403,9854]/[LCM of 485,519]= 1/251715
Therefore, the GCF of 5403/485,9854/519 is 1/251715.
To find the highest common factor of 5403,9854, we have to find the factors of both numbers and list the highest common factor.
The factors of 5403 are 1, 3, 1801, 5403
The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854
The HCF of 5403,9854 is 1.
Lets's calculate GCF of 5403,9854
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5403
:1,3,1801,5403
Now, list down the factors of 9854
:1,2,13,26,379,758,4927,9854
Greatest Common Factor
We found the factors 5403,9854 . The biggest common factor number is the GCF number.
So the greatest common factor 5403,9854 is 1.
Lets's calculate LCM of 485,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 251715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251715
Therefore, the GCF of Fractions 5403/485,9854/519 is 1/251715
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 485,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,519) x common factors =1 x 1 = 1
LCM(485,519) = ( 485 × 519 ) / 1
LCM(485,519) = 251715 / 1
LCM(485,519) = 251715
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5403,9854?
The HCF of 5403,9854 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 5403/485, 9854/519?
Answer: GCF of Numerators as per given numbers 5403/485, 9854/519 is
GCF of Numerators i.e. for 5403,9854 is 1
LCM of denominators i.e. for 485,519 is 251715.
Thus, GCF of Fractions is 1/251715.Finally, GCF of Fractions for 5403/485, 9854/519 is 1/251715.