GCF of 2299/461, 5218/9221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2299/461, 5218/9221 i.e 1/4250881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2299/461, 5218/9221.
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 2299/461,5218/9221?
Given fractions are 2299/461,5218/9221
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 2299/461,5218/9221, numerators are 2299,5218
Denominators are 461,9221
The GCF of 2299,5218 is 1 .
LCM of 461,9221 is 4250881.
The greatest common factor of 2299/461,5218/9221 = [GCF of 2299,5218]/[LCM of 461,9221]= 1/4250881
Therefore, the GCF of 2299/461,5218/9221 is 1/4250881.
To find the highest common factor of 2299,5218, we have to find the factors of both numbers and list the highest common factor.
The factors of 2299 are 1, 11, 19, 121, 209, 2299
The factors of 5218 are 1, 2, 2609, 5218
The HCF of 2299,5218 is 1.
Lets's calculate GCF of 2299,5218
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2299,5218 By Matching Biggest Common Factor Method
Now, list down the factors of 2299
:1,11,19,121,209,2299
Now, list down the factors of 5218
:1,2,2609,5218
Greatest Common Factor
We found the factors 2299,5218 . The biggest common factor number is the GCF number.
So the greatest common factor 2299,5218 is 1.
Lets's calculate LCM of 461,9221
Given numbers has no common factors except 1. So, there LCM is their product i.e 4250881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4250881
Therefore, the GCF of Fractions 2299/461,5218/9221 is 1/4250881
Least Common Multiple of 461,9221 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 461,9221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,9221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,9221) x common factors =1 x 1 = 1
LCM(461,9221) = ( 461 × 9221 ) / 1
LCM(461,9221) = 4250881 / 1
LCM(461,9221) = 4250881
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FAQs on GCF of Fractions of 2299/461, 5218/9221
1. What is the HCF of 2299,5218?
The HCF of 2299,5218 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 2299/461, 5218/9221?
Answer: GCF of Numerators as per given numbers 2299/461, 5218/9221 is
GCF of Numerators i.e. for 2299,5218 is 1
LCM of denominators i.e. for 461,9221 is 4250881.
Thus, GCF of Fractions is 1/4250881.Finally, GCF of Fractions for 2299/461, 5218/9221 is 1/4250881.