GCF of 159/59, 936/14, 721/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 159/59, 936/14, 721/31 i.e 1/25606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 159/59, 936/14, 721/31.
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 159/59,936/14,721/31?
Given fractions are 159/59,936/14,721/31
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 159/59,936/14,721/31, numerators are 159,936,721
Denominators are 59,14,31
The GCF of 159,936,721 is 1 .
LCM of 59,14,31 is 25606.
The greatest common factor of 159/59,936/14,721/31 = [GCF of 159,936,721]/[LCM of 59,14,31]= 1/25606
Therefore, the GCF of 159/59,936/14,721/31 is 1/25606.
To find the highest common factor of 159,936,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 159 are 1, 3, 53, 159
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The factors of 721 are 1, 7, 103, 721
The HCF of 159,936,721 is 1.
Lets's calculate GCF of 159,936,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 159,936,721 By Matching Biggest Common Factor Method
Now, list down the factors of 159
:1,3,53,159
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 159,936,721 . The biggest common factor number is the GCF number.
So the greatest common factor 159,936,721 is 1.
Lets's calculate LCM of 59,14,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 25606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25606
Therefore, the GCF of Fractions 159/59,936/14,721/31 is 1/25606
Least Common Multiple of 59,14,31 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 59,14,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,14,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,14,31) x common factors =1 x 1 = 1
LCM(59,14,31) = ( 59 × 14 × 31 ) / 1
LCM(59,14,31) = 25606 / 1
LCM(59,14,31) = 25606
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 159/59, 936/14, 721/31
1. What is the HCF of 159,936,721?
The HCF of 159,936,721 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 159/59, 936/14, 721/31?
Answer: GCF of Numerators as per given numbers 159/59, 936/14, 721/31 is
GCF of Numerators i.e. for 159,936,721 is 1
LCM of denominators i.e. for 59,14,31 is 25606.
Thus, GCF of Fractions is 1/25606.Finally, GCF of Fractions for 159/59, 936/14, 721/31 is 1/25606.