Use our free GCF of Fractions Calculator tool to compute the GCF of 3553/455, 8863/5216 i.e 1/2373280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3553/455, 8863/5216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3553/455,8863/5216
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 3553/455,8863/5216, numerators are 3553,8863
Denominators are 455,5216
The GCF of 3553,8863 is 1 .
LCM of 455,5216 is 2373280.
The greatest common factor of 3553/455,8863/5216 = [GCF of 3553,8863]/[LCM of 455,5216]= 1/2373280
Therefore, the GCF of 3553/455,8863/5216 is 1/2373280.
To find the highest common factor of 3553,8863, we have to find the factors of both numbers and list the highest common factor.
The factors of 3553 are 1, 11, 17, 19, 187, 209, 323, 3553
The factors of 8863 are 1, 8863
The HCF of 3553,8863 is 1.
Lets's calculate GCF of 3553,8863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3553
:1,11,17,19,187,209,323,3553
Now, list down the factors of 8863
:1,8863
Greatest Common Factor
We found the factors 3553,8863 . The biggest common factor number is the GCF number.
So the greatest common factor 3553,8863 is 1.
Lets's calculate LCM of 455,5216
Given numbers has no common factors except 1. So, there LCM is their product i.e 2373280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2373280
Therefore, the GCF of Fractions 3553/455,8863/5216 is 1/2373280
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 455,5216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,5216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,5216) x common factors =1 x 1 = 1
LCM(455,5216) = ( 455 × 5216 ) / 1
LCM(455,5216) = 2373280 / 1
LCM(455,5216) = 2373280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3553,8863?
The HCF of 3553,8863 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 3553/455, 8863/5216?
Answer: GCF of Numerators as per given numbers 3553/455, 8863/5216 is
GCF of Numerators i.e. for 3553,8863 is 1
LCM of denominators i.e. for 455,5216 is 2373280.
Thus, GCF of Fractions is 1/2373280.Finally, GCF of Fractions for 3553/455, 8863/5216 is 1/2373280.