GCF of 9344/808, 5011/9161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9344/808, 5011/9161 i.e 1/7402088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9344/808, 5011/9161.
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 9344/808,5011/9161?
Given fractions are 9344/808,5011/9161
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 9344/808,5011/9161, numerators are 9344,5011
Denominators are 808,9161
The GCF of 9344,5011 is 1 .
LCM of 808,9161 is 7402088.
The greatest common factor of 9344/808,5011/9161 = [GCF of 9344,5011]/[LCM of 808,9161]= 1/7402088
Therefore, the GCF of 9344/808,5011/9161 is 1/7402088.
To find the highest common factor of 9344,5011, we have to find the factors of both numbers and list the highest common factor.
The factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344
The factors of 5011 are 1, 5011
The HCF of 9344,5011 is 1.
Lets's calculate GCF of 9344,5011
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9344,5011 By Matching Biggest Common Factor Method
Now, list down the factors of 9344
:1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Now, list down the factors of 5011
:1,5011
Greatest Common Factor
We found the factors 9344,5011 . The biggest common factor number is the GCF number.
So the greatest common factor 9344,5011 is 1.
Lets's calculate LCM of 808,9161
Given numbers has no common factors except 1. So, there LCM is their product i.e 7402088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7402088
Therefore, the GCF of Fractions 9344/808,5011/9161 is 1/7402088
Least Common Multiple of 808,9161 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 808,9161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,9161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,9161) x common factors =1 x 1 = 1
LCM(808,9161) = ( 808 × 9161 ) / 1
LCM(808,9161) = 7402088 / 1
LCM(808,9161) = 7402088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9344/808, 5011/9161
1. What is the HCF of 9344,5011?
The HCF of 9344,5011 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 9344/808, 5011/9161?
Answer: GCF of Numerators as per given numbers 9344/808, 5011/9161 is
GCF of Numerators i.e. for 9344,5011 is 1
LCM of denominators i.e. for 808,9161 is 7402088.
Thus, GCF of Fractions is 1/7402088.Finally, GCF of Fractions for 9344/808, 5011/9161 is 1/7402088.