GCF of 8795/899, 2296/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8795/899, 2296/339 i.e 1/304761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8795/899, 2296/339.
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 8795/899,2296/339?
Given fractions are 8795/899,2296/339
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 8795/899,2296/339, numerators are 8795,2296
Denominators are 899,339
The GCF of 8795,2296 is 1 .
LCM of 899,339 is 304761.
The greatest common factor of 8795/899,2296/339 = [GCF of 8795,2296]/[LCM of 899,339]= 1/304761
Therefore, the GCF of 8795/899,2296/339 is 1/304761.
To find the highest common factor of 8795,2296, we have to find the factors of both numbers and list the highest common factor.
The factors of 8795 are 1, 5, 1759, 8795
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The HCF of 8795,2296 is 1.
Lets's calculate GCF of 8795,2296
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8795,2296 By Matching Biggest Common Factor Method
Now, list down the factors of 8795
:1,5,1759,8795
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Greatest Common Factor
We found the factors 8795,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 8795,2296 is 1.
Lets's calculate LCM of 899,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 304761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304761
Therefore, the GCF of Fractions 8795/899,2296/339 is 1/304761
Least Common Multiple of 899,339 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 899,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,339) x common factors =1 x 1 = 1
LCM(899,339) = ( 899 × 339 ) / 1
LCM(899,339) = 304761 / 1
LCM(899,339) = 304761
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FAQs on GCF of Fractions of 8795/899, 2296/339
1. What is the HCF of 8795,2296?
The HCF of 8795,2296 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 8795/899, 2296/339?
Answer: GCF of Numerators as per given numbers 8795/899, 2296/339 is
GCF of Numerators i.e. for 8795,2296 is 1
LCM of denominators i.e. for 899,339 is 304761.
Thus, GCF of Fractions is 1/304761.Finally, GCF of Fractions for 8795/899, 2296/339 is 1/304761.