GCF of 231/17, 985/55, 968/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 231/17, 985/55, 968/593 i.e 1/554455 easily. The following is the detailed procedure to determine the greatest common factor of fractions 231/17, 985/55, 968/593.
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 231/17,985/55,968/593?
Given fractions are 231/17,985/55,968/593
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 231/17,985/55,968/593, numerators are 231,985,968
Denominators are 17,55,593
The GCF of 231,985,968 is 1 .
LCM of 17,55,593 is 554455.
The greatest common factor of 231/17,985/55,968/593 = [GCF of 231,985,968]/[LCM of 17,55,593]= 1/554455
Therefore, the GCF of 231/17,985/55,968/593 is 1/554455.
To find the highest common factor of 231,985,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 985 are 1, 5, 197, 985
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 231,985,968 is 1.
Lets's calculate GCF of 231,985,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 231,985,968 By Matching Biggest Common Factor Method
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 231,985,968 . The biggest common factor number is the GCF number.
So the greatest common factor 231,985,968 is 1.
Lets's calculate LCM of 17,55,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 554455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554455
Therefore, the GCF of Fractions 231/17,985/55,968/593 is 1/554455
Least Common Multiple of 17,55,593 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 17,55,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,55,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,55,593) x common factors =1 x 1 = 1
LCM(17,55,593) = ( 17 × 55 × 593 ) / 1
LCM(17,55,593) = 554455 / 1
LCM(17,55,593) = 554455
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FAQs on GCF of Fractions of 231/17, 985/55, 968/593
1. What is the HCF of 231,985,968?
The HCF of 231,985,968 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 231/17, 985/55, 968/593?
Answer: GCF of Numerators as per given numbers 231/17, 985/55, 968/593 is
GCF of Numerators i.e. for 231,985,968 is 1
LCM of denominators i.e. for 17,55,593 is 554455.
Thus, GCF of Fractions is 1/554455.Finally, GCF of Fractions for 231/17, 985/55, 968/593 is 1/554455.