GCF of 2305/184, 7744/817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2305/184, 7744/817 i.e 1/150328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2305/184, 7744/817.
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 2305/184,7744/817?
Given fractions are 2305/184,7744/817
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 2305/184,7744/817, numerators are 2305,7744
Denominators are 184,817
The GCF of 2305,7744 is 1 .
LCM of 184,817 is 150328.
The greatest common factor of 2305/184,7744/817 = [GCF of 2305,7744]/[LCM of 184,817]= 1/150328
Therefore, the GCF of 2305/184,7744/817 is 1/150328.
To find the highest common factor of 2305,7744, we have to find the factors of both numbers and list the highest common factor.
The factors of 2305 are 1, 5, 461, 2305
The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744
The HCF of 2305,7744 is 1.
Lets's calculate GCF of 2305,7744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2305,7744 By Matching Biggest Common Factor Method
Now, list down the factors of 2305
:1,5,461,2305
Now, list down the factors of 7744
:1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors 2305,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 2305,7744 is 1.
Lets's calculate LCM of 184,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 150328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150328
Therefore, the GCF of Fractions 2305/184,7744/817 is 1/150328
Least Common Multiple of 184,817 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 184,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,817) x common factors =1 x 1 = 1
LCM(184,817) = ( 184 × 817 ) / 1
LCM(184,817) = 150328 / 1
LCM(184,817) = 150328
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FAQs on GCF of Fractions of 2305/184, 7744/817
1. What is the HCF of 2305,7744?
The HCF of 2305,7744 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 2305/184, 7744/817?
Answer: GCF of Numerators as per given numbers 2305/184, 7744/817 is
GCF of Numerators i.e. for 2305,7744 is 1
LCM of denominators i.e. for 184,817 is 150328.
Thus, GCF of Fractions is 1/150328.Finally, GCF of Fractions for 2305/184, 7744/817 is 1/150328.