GCF of 3617/613, 2056/8605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3617/613, 2056/8605 i.e 1/5274865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3617/613, 2056/8605.
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 3617/613,2056/8605?
Given fractions are 3617/613,2056/8605
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 3617/613,2056/8605, numerators are 3617,2056
Denominators are 613,8605
The GCF of 3617,2056 is 1 .
LCM of 613,8605 is 5274865.
The greatest common factor of 3617/613,2056/8605 = [GCF of 3617,2056]/[LCM of 613,8605]= 1/5274865
Therefore, the GCF of 3617/613,2056/8605 is 1/5274865.
To find the highest common factor of 3617,2056, we have to find the factors of both numbers and list the highest common factor.
The factors of 3617 are 1, 3617
The factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056
The HCF of 3617,2056 is 1.
Lets's calculate GCF of 3617,2056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3617,2056 By Matching Biggest Common Factor Method
Now, list down the factors of 3617
:1,3617
Now, list down the factors of 2056
:1,2,4,8,257,514,1028,2056
Greatest Common Factor
We found the factors 3617,2056 . The biggest common factor number is the GCF number.
So the greatest common factor 3617,2056 is 1.
Lets's calculate LCM of 613,8605
Given numbers has no common factors except 1. So, there LCM is their product i.e 5274865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5274865
Therefore, the GCF of Fractions 3617/613,2056/8605 is 1/5274865
Least Common Multiple of 613,8605 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 613,8605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,8605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,8605) x common factors =1 x 1 = 1
LCM(613,8605) = ( 613 × 8605 ) / 1
LCM(613,8605) = 5274865 / 1
LCM(613,8605) = 5274865
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3617/613, 2056/8605
1. What is the HCF of 3617,2056?
The HCF of 3617,2056 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 3617/613, 2056/8605?
Answer: GCF of Numerators as per given numbers 3617/613, 2056/8605 is
GCF of Numerators i.e. for 3617,2056 is 1
LCM of denominators i.e. for 613,8605 is 5274865.
Thus, GCF of Fractions is 1/5274865.Finally, GCF of Fractions for 3617/613, 2056/8605 is 1/5274865.