GCF of 99/831, 69/491, 257/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/831, 69/491, 257/608 i.e 1/248076768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/831, 69/491, 257/608.
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 99/831,69/491,257/608?
Given fractions are 99/831,69/491,257/608
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 99/831,69/491,257/608, numerators are 99,69,257
Denominators are 831,491,608
The GCF of 99,69,257 is 1 .
LCM of 831,491,608 is 248076768.
The greatest common factor of 99/831,69/491,257/608 = [GCF of 99,69,257]/[LCM of 831,491,608]= 1/248076768
Therefore, the GCF of 99/831,69/491,257/608 is 1/248076768.
To find the highest common factor of 99,69,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 69 are 1, 3, 23, 69
The factors of 257 are 1, 257
The HCF of 99,69,257 is 1.
Lets's calculate GCF of 99,69,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,69,257 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 99,69,257 . The biggest common factor number is the GCF number.
So the greatest common factor 99,69,257 is 1.
Lets's calculate LCM of 831,491,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 248076768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248076768
Therefore, the GCF of Fractions 99/831,69/491,257/608 is 1/248076768
Least Common Multiple of 831,491,608 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 831,491,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,491,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,491,608) x common factors =1 x 1 = 1
LCM(831,491,608) = ( 831 × 491 × 608 ) / 1
LCM(831,491,608) = 248076768 / 1
LCM(831,491,608) = 248076768
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FAQs on GCF of Fractions of 99/831, 69/491, 257/608
1. What is the HCF of 99,69,257?
The HCF of 99,69,257 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 99/831, 69/491, 257/608?
Answer: GCF of Numerators as per given numbers 99/831, 69/491, 257/608 is
GCF of Numerators i.e. for 99,69,257 is 1
LCM of denominators i.e. for 831,491,608 is 248076768.
Thus, GCF of Fractions is 1/248076768.Finally, GCF of Fractions for 99/831, 69/491, 257/608 is 1/248076768.