Use our free GCF of Fractions Calculator tool to compute the GCF of 20/113, 82/755, 489/258 i.e 1/22011270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/113, 82/755, 489/258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/113,82/755,489/258
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 20/113,82/755,489/258, numerators are 20,82,489
Denominators are 113,755,258
The GCF of 20,82,489 is 1 .
LCM of 113,755,258 is 22011270.
The greatest common factor of 20/113,82/755,489/258 = [GCF of 20,82,489]/[LCM of 113,755,258]= 1/22011270
Therefore, the GCF of 20/113,82/755,489/258 is 1/22011270.
To find the highest common factor of 20,82,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 82 are 1, 2, 41, 82
The factors of 489 are 1, 3, 163, 489
The HCF of 20,82,489 is 1.
Lets's calculate GCF of 20,82,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 20,82,489 . The biggest common factor number is the GCF number.
So the greatest common factor 20,82,489 is 1.
Lets's calculate LCM of 113,755,258
Given numbers has no common factors except 1. So, there LCM is their product i.e 22011270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22011270
Therefore, the GCF of Fractions 20/113,82/755,489/258 is 1/22011270
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 113,755,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,755,258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,755,258) x common factors =1 x 1 = 1
LCM(113,755,258) = ( 113 × 755 × 258 ) / 1
LCM(113,755,258) = 22011270 / 1
LCM(113,755,258) = 22011270
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,82,489?
The HCF of 20,82,489 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 20/113, 82/755, 489/258?
Answer: GCF of Numerators as per given numbers 20/113, 82/755, 489/258 is
GCF of Numerators i.e. for 20,82,489 is 1
LCM of denominators i.e. for 113,755,258 is 22011270.
Thus, GCF of Fractions is 1/22011270.Finally, GCF of Fractions for 20/113, 82/755, 489/258 is 1/22011270.