GCF of 8721/284, 2339/421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8721/284, 2339/421 i.e 1/119564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8721/284, 2339/421.
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 8721/284,2339/421?
Given fractions are 8721/284,2339/421
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 8721/284,2339/421, numerators are 8721,2339
Denominators are 284,421
The GCF of 8721,2339 is 1 .
LCM of 284,421 is 119564.
The greatest common factor of 8721/284,2339/421 = [GCF of 8721,2339]/[LCM of 284,421]= 1/119564
Therefore, the GCF of 8721/284,2339/421 is 1/119564.
To find the highest common factor of 8721,2339, we have to find the factors of both numbers and list the highest common factor.
The factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The factors of 2339 are 1, 2339
The HCF of 8721,2339 is 1.
Lets's calculate GCF of 8721,2339
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8721,2339 By Matching Biggest Common Factor Method
Now, list down the factors of 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Now, list down the factors of 2339
:1,2339
Greatest Common Factor
We found the factors 8721,2339 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,2339 is 1.
Lets's calculate LCM of 284,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 119564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119564
Therefore, the GCF of Fractions 8721/284,2339/421 is 1/119564
Least Common Multiple of 284,421 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 284,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,421) x common factors =1 x 1 = 1
LCM(284,421) = ( 284 × 421 ) / 1
LCM(284,421) = 119564 / 1
LCM(284,421) = 119564
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FAQs on GCF of Fractions of 8721/284, 2339/421
1. What is the HCF of 8721,2339?
The HCF of 8721,2339 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 8721/284, 2339/421?
Answer: GCF of Numerators as per given numbers 8721/284, 2339/421 is
GCF of Numerators i.e. for 8721,2339 is 1
LCM of denominators i.e. for 284,421 is 119564.
Thus, GCF of Fractions is 1/119564.Finally, GCF of Fractions for 8721/284, 2339/421 is 1/119564.