GCF of 543/64, 193/31, 935/79
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 543/64, 193/31, 935/79 i.e 1/156736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/64, 193/31, 935/79.
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 543/64,193/31,935/79?
Given fractions are 543/64,193/31,935/79
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 543/64,193/31,935/79, numerators are 543,193,935
Denominators are 64,31,79
The GCF of 543,193,935 is 1 .
LCM of 64,31,79 is 156736.
The greatest common factor of 543/64,193/31,935/79 = [GCF of 543,193,935]/[LCM of 64,31,79]= 1/156736
Therefore, the GCF of 543/64,193/31,935/79 is 1/156736.
To find the highest common factor of 543,193,935, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 193 are 1, 193
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The HCF of 543,193,935 is 1.
Lets's calculate GCF of 543,193,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 543,193,935 By Matching Biggest Common Factor Method
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 193
:1,193
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 543,193,935 . The biggest common factor number is the GCF number.
So the greatest common factor 543,193,935 is 1.
Lets's calculate LCM of 64,31,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 156736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156736
Therefore, the GCF of Fractions 543/64,193/31,935/79 is 1/156736
Least Common Multiple of 64,31,79 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 64,31,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,31,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,31,79) x common factors =1 x 1 = 1
LCM(64,31,79) = ( 64 × 31 × 79 ) / 1
LCM(64,31,79) = 156736 / 1
LCM(64,31,79) = 156736
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FAQs on GCF of Fractions of 543/64, 193/31, 935/79
1. What is the HCF of 543,193,935?
The HCF of 543,193,935 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 543/64, 193/31, 935/79?
Answer: GCF of Numerators as per given numbers 543/64, 193/31, 935/79 is
GCF of Numerators i.e. for 543,193,935 is 1
LCM of denominators i.e. for 64,31,79 is 156736.
Thus, GCF of Fractions is 1/156736.Finally, GCF of Fractions for 543/64, 193/31, 935/79 is 1/156736.