GCF of 8999/215, 4681/3922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8999/215, 4681/3922 i.e 1/843230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8999/215, 4681/3922.
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 8999/215,4681/3922?
Given fractions are 8999/215,4681/3922
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 8999/215,4681/3922, numerators are 8999,4681
Denominators are 215,3922
The GCF of 8999,4681 is 1 .
LCM of 215,3922 is 843230.
The greatest common factor of 8999/215,4681/3922 = [GCF of 8999,4681]/[LCM of 215,3922]= 1/843230
Therefore, the GCF of 8999/215,4681/3922 is 1/843230.
To find the highest common factor of 8999,4681, we have to find the factors of both numbers and list the highest common factor.
The factors of 8999 are 1, 8999
The factors of 4681 are 1, 31, 151, 4681
The HCF of 8999,4681 is 1.
Lets's calculate GCF of 8999,4681
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8999,4681 By Matching Biggest Common Factor Method
Now, list down the factors of 8999
:1,8999
Now, list down the factors of 4681
:1,31,151,4681
Greatest Common Factor
We found the factors 8999,4681 . The biggest common factor number is the GCF number.
So the greatest common factor 8999,4681 is 1.
Lets's calculate LCM of 215,3922
Given numbers has no common factors except 1. So, there LCM is their product i.e 843230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/843230
Therefore, the GCF of Fractions 8999/215,4681/3922 is 1/843230
Least Common Multiple of 215,3922 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 215,3922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,3922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,3922) x common factors =1 x 1 = 1
LCM(215,3922) = ( 215 × 3922 ) / 1
LCM(215,3922) = 843230 / 1
LCM(215,3922) = 843230
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FAQs on GCF of Fractions of 8999/215, 4681/3922
1. What is the HCF of 8999,4681?
The HCF of 8999,4681 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 8999/215, 4681/3922?
Answer: GCF of Numerators as per given numbers 8999/215, 4681/3922 is
GCF of Numerators i.e. for 8999,4681 is 1
LCM of denominators i.e. for 215,3922 is 843230.
Thus, GCF of Fractions is 1/843230.Finally, GCF of Fractions for 8999/215, 4681/3922 is 1/843230.