GCF of 5000/441, 5491/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/441, 5491/561 i.e 1/82467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/441, 5491/561.
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 5000/441,5491/561?
Given fractions are 5000/441,5491/561
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 5000/441,5491/561, numerators are 5000,5491
Denominators are 441,561
The GCF of 5000,5491 is 1 .
LCM of 441,561 is 82467.
The greatest common factor of 5000/441,5491/561 = [GCF of 5000,5491]/[LCM of 441,561]= 1/82467
Therefore, the GCF of 5000/441,5491/561 is 1/82467.
To find the highest common factor of 5000,5491, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The HCF of 5000,5491 is 1.
Lets's calculate GCF of 5000,5491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5000,5491 By Matching Biggest Common Factor Method
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 5491
:1,17,19,289,323,5491
Greatest Common Factor
We found the factors 5000,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,5491 is 1.
Lets's calculate LCM of 441,561
| 3 | 441, 561 |
| 147, 187 |
∴ So the LCM of the given numbers is 3 x 147 x 187 = 82467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82467
Therefore, the GCF of Fractions 5000/441,5491/561 is 1/82467
Least Common Multiple of 441,561 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 441,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(441,561) x common factors =3 x 1 = 3
LCM(441,561) = ( 441 × 561 ) / 3
LCM(441,561) = 247401 / 3
LCM(441,561) = 82467
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FAQs on GCF of Fractions of 5000/441, 5491/561
1. What is the HCF of 5000,5491?
The HCF of 5000,5491 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 5000/441, 5491/561?
Answer: GCF of Numerators as per given numbers 5000/441, 5491/561 is
GCF of Numerators i.e. for 5000,5491 is 1
LCM of denominators i.e. for 441,561 is 82467.
Thus, GCF of Fractions is 1/82467.Finally, GCF of Fractions for 5000/441, 5491/561 is 1/82467.