GCF of 554/818, 555/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/818, 555/291 i.e 1/238038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/818, 555/291.
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 554/818,555/291?
Given fractions are 554/818,555/291
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 554/818,555/291, numerators are 554,555
Denominators are 818,291
The GCF of 554,555 is 1 .
LCM of 818,291 is 238038.
The greatest common factor of 554/818,555/291 = [GCF of 554,555]/[LCM of 818,291]= 1/238038
Therefore, the GCF of 554/818,555/291 is 1/238038.
To find the highest common factor of 554,555, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 554,555 is 1.
Lets's calculate GCF of 554,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 554,555 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 554,555 . The biggest common factor number is the GCF number.
So the greatest common factor 554,555 is 1.
Lets's calculate LCM of 818,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 238038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238038
Therefore, the GCF of Fractions 554/818,555/291 is 1/238038
Least Common Multiple of 818,291 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 818,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,291) x common factors =1 x 1 = 1
LCM(818,291) = ( 818 × 291 ) / 1
LCM(818,291) = 238038 / 1
LCM(818,291) = 238038
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FAQs on GCF of Fractions of 554/818, 555/291
1. What is the HCF of 554,555?
The HCF of 554,555 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 554/818, 555/291?
Answer: GCF of Numerators as per given numbers 554/818, 555/291 is
GCF of Numerators i.e. for 554,555 is 1
LCM of denominators i.e. for 818,291 is 238038.
Thus, GCF of Fractions is 1/238038.Finally, GCF of Fractions for 554/818, 555/291 is 1/238038.