GCF of 9296/585, 2895/8584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9296/585, 2895/8584 i.e 1/5021640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9296/585, 2895/8584.
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 9296/585,2895/8584?
Given fractions are 9296/585,2895/8584
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 9296/585,2895/8584, numerators are 9296,2895
Denominators are 585,8584
The GCF of 9296,2895 is 1 .
LCM of 585,8584 is 5021640.
The greatest common factor of 9296/585,2895/8584 = [GCF of 9296,2895]/[LCM of 585,8584]= 1/5021640
Therefore, the GCF of 9296/585,2895/8584 is 1/5021640.
To find the highest common factor of 9296,2895, we have to find the factors of both numbers and list the highest common factor.
The factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296
The factors of 2895 are 1, 3, 5, 15, 193, 579, 965, 2895
The HCF of 9296,2895 is 1.
Lets's calculate GCF of 9296,2895
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9296,2895 By Matching Biggest Common Factor Method
Now, list down the factors of 9296
:1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296
Now, list down the factors of 2895
:1,3,5,15,193,579,965,2895
Greatest Common Factor
We found the factors 9296,2895 . The biggest common factor number is the GCF number.
So the greatest common factor 9296,2895 is 1.
Lets's calculate LCM of 585,8584
Given numbers has no common factors except 1. So, there LCM is their product i.e 5021640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5021640
Therefore, the GCF of Fractions 9296/585,2895/8584 is 1/5021640
Least Common Multiple of 585,8584 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 585,8584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,8584) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,8584) x common factors =1 x 1 = 1
LCM(585,8584) = ( 585 × 8584 ) / 1
LCM(585,8584) = 5021640 / 1
LCM(585,8584) = 5021640
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FAQs on GCF of Fractions of 9296/585, 2895/8584
1. What is the HCF of 9296,2895?
The HCF of 9296,2895 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 9296/585, 2895/8584?
Answer: GCF of Numerators as per given numbers 9296/585, 2895/8584 is
GCF of Numerators i.e. for 9296,2895 is 1
LCM of denominators i.e. for 585,8584 is 5021640.
Thus, GCF of Fractions is 1/5021640.Finally, GCF of Fractions for 9296/585, 2895/8584 is 1/5021640.