GCF of 985/233, 5718/439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 985/233, 5718/439 i.e 1/102287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/233, 5718/439.
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 985/233,5718/439?
Given fractions are 985/233,5718/439
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 985/233,5718/439, numerators are 985,5718
Denominators are 233,439
The GCF of 985,5718 is 1 .
LCM of 233,439 is 102287.
The greatest common factor of 985/233,5718/439 = [GCF of 985,5718]/[LCM of 233,439]= 1/102287
Therefore, the GCF of 985/233,5718/439 is 1/102287.
To find the highest common factor of 985,5718, we have to find the factors of both numbers and list the highest common factor.
The factors of 985 are 1, 5, 197, 985
The factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718
The HCF of 985,5718 is 1.
Lets's calculate GCF of 985,5718
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 985,5718 By Matching Biggest Common Factor Method
Now, list down the factors of 985
:1,5,197,985
Now, list down the factors of 5718
:1,2,3,6,953,1906,2859,5718
Greatest Common Factor
We found the factors 985,5718 . The biggest common factor number is the GCF number.
So the greatest common factor 985,5718 is 1.
Lets's calculate LCM of 233,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 102287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102287
Therefore, the GCF of Fractions 985/233,5718/439 is 1/102287
Least Common Multiple of 233,439 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 233,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,439) x common factors =1 x 1 = 1
LCM(233,439) = ( 233 × 439 ) / 1
LCM(233,439) = 102287 / 1
LCM(233,439) = 102287
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FAQs on GCF of Fractions of 985/233, 5718/439
1. What is the HCF of 985,5718?
The HCF of 985,5718 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 985/233, 5718/439?
Answer: GCF of Numerators as per given numbers 985/233, 5718/439 is
GCF of Numerators i.e. for 985,5718 is 1
LCM of denominators i.e. for 233,439 is 102287.
Thus, GCF of Fractions is 1/102287.Finally, GCF of Fractions for 985/233, 5718/439 is 1/102287.