GCF of 36/23, 344/43, 161/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/23, 344/43, 161/916 i.e 1/905924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/23, 344/43, 161/916.
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 36/23,344/43,161/916?
Given fractions are 36/23,344/43,161/916
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 36/23,344/43,161/916, numerators are 36,344,161
Denominators are 23,43,916
The GCF of 36,344,161 is 1 .
LCM of 23,43,916 is 905924.
The greatest common factor of 36/23,344/43,161/916 = [GCF of 36,344,161]/[LCM of 23,43,916]= 1/905924
Therefore, the GCF of 36/23,344/43,161/916 is 1/905924.
To find the highest common factor of 36,344,161, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The factors of 161 are 1, 7, 23, 161
The HCF of 36,344,161 is 1.
Lets's calculate GCF of 36,344,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,344,161 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Now, list down the factors of 161
:1,7,23,161
Greatest Common Factor
We found the factors 36,344,161 . The biggest common factor number is the GCF number.
So the greatest common factor 36,344,161 is 1.
Lets's calculate LCM of 23,43,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 905924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/905924
Therefore, the GCF of Fractions 36/23,344/43,161/916 is 1/905924
Least Common Multiple of 23,43,916 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 23,43,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,43,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,43,916) x common factors =1 x 1 = 1
LCM(23,43,916) = ( 23 × 43 × 916 ) / 1
LCM(23,43,916) = 905924 / 1
LCM(23,43,916) = 905924
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FAQs on GCF of Fractions of 36/23, 344/43, 161/916
1. What is the HCF of 36,344,161?
The HCF of 36,344,161 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 36/23, 344/43, 161/916?
Answer: GCF of Numerators as per given numbers 36/23, 344/43, 161/916 is
GCF of Numerators i.e. for 36,344,161 is 1
LCM of denominators i.e. for 23,43,916 is 905924.
Thus, GCF of Fractions is 1/905924.Finally, GCF of Fractions for 36/23, 344/43, 161/916 is 1/905924.