Use our free GCF of Fractions Calculator tool to compute the GCF of 97/31, 107/14, 500/255 i.e 1/110670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/31, 107/14, 500/255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/31,107/14,500/255
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 97/31,107/14,500/255, numerators are 97,107,500
Denominators are 31,14,255
The GCF of 97,107,500 is 1 .
LCM of 31,14,255 is 110670.
The greatest common factor of 97/31,107/14,500/255 = [GCF of 97,107,500]/[LCM of 31,14,255]= 1/110670
Therefore, the GCF of 97/31,107/14,500/255 is 1/110670.
To find the highest common factor of 97,107,500, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 107 are 1, 107
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 97,107,500 is 1.
Lets's calculate GCF of 97,107,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 107
:1,107
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 97,107,500 . The biggest common factor number is the GCF number.
So the greatest common factor 97,107,500 is 1.
Lets's calculate LCM of 31,14,255
Given numbers has no common factors except 1. So, there LCM is their product i.e 110670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110670
Therefore, the GCF of Fractions 97/31,107/14,500/255 is 1/110670
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 31,14,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,14,255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,14,255) x common factors =1 x 1 = 1
LCM(31,14,255) = ( 31 × 14 × 255 ) / 1
LCM(31,14,255) = 110670 / 1
LCM(31,14,255) = 110670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,107,500?
The HCF of 97,107,500 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 97/31, 107/14, 500/255?
Answer: GCF of Numerators as per given numbers 97/31, 107/14, 500/255 is
GCF of Numerators i.e. for 97,107,500 is 1
LCM of denominators i.e. for 31,14,255 is 110670.
Thus, GCF of Fractions is 1/110670.Finally, GCF of Fractions for 97/31, 107/14, 500/255 is 1/110670.