GCF of 2585/458, 9888/2365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2585/458, 9888/2365 i.e 1/1083170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2585/458, 9888/2365.
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 2585/458,9888/2365?
Given fractions are 2585/458,9888/2365
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 2585/458,9888/2365, numerators are 2585,9888
Denominators are 458,2365
The GCF of 2585,9888 is 1 .
LCM of 458,2365 is 1083170.
The greatest common factor of 2585/458,9888/2365 = [GCF of 2585,9888]/[LCM of 458,2365]= 1/1083170
Therefore, the GCF of 2585/458,9888/2365 is 1/1083170.
To find the highest common factor of 2585,9888, we have to find the factors of both numbers and list the highest common factor.
The factors of 2585 are 1, 5, 11, 47, 55, 235, 517, 2585
The factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888
The HCF of 2585,9888 is 1.
Lets's calculate GCF of 2585,9888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2585,9888 By Matching Biggest Common Factor Method
Now, list down the factors of 2585
:1,5,11,47,55,235,517,2585
Now, list down the factors of 9888
:1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Greatest Common Factor
We found the factors 2585,9888 . The biggest common factor number is the GCF number.
So the greatest common factor 2585,9888 is 1.
Lets's calculate LCM of 458,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 1083170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1083170
Therefore, the GCF of Fractions 2585/458,9888/2365 is 1/1083170
Least Common Multiple of 458,2365 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 458,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,2365) x common factors =1 x 1 = 1
LCM(458,2365) = ( 458 × 2365 ) / 1
LCM(458,2365) = 1083170 / 1
LCM(458,2365) = 1083170
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FAQs on GCF of Fractions of 2585/458, 9888/2365
1. What is the HCF of 2585,9888?
The HCF of 2585,9888 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 2585/458, 9888/2365?
Answer: GCF of Numerators as per given numbers 2585/458, 9888/2365 is
GCF of Numerators i.e. for 2585,9888 is 1
LCM of denominators i.e. for 458,2365 is 1083170.
Thus, GCF of Fractions is 1/1083170.Finally, GCF of Fractions for 2585/458, 9888/2365 is 1/1083170.