Use our free GCF of Fractions Calculator tool to compute the GCF of 83/500, 69/625, 897/163 i.e 1/407500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/500, 69/625, 897/163.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/500,69/625,897/163
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 83/500,69/625,897/163, numerators are 83,69,897
Denominators are 500,625,163
The GCF of 83,69,897 is 1 .
LCM of 500,625,163 is 407500.
The greatest common factor of 83/500,69/625,897/163 = [GCF of 83,69,897]/[LCM of 500,625,163]= 1/407500
Therefore, the GCF of 83/500,69/625,897/163 is 1/407500.
To find the highest common factor of 83,69,897, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 69 are 1, 3, 23, 69
The factors of 897 are 1, 3, 13, 23, 39, 69, 299, 897
The HCF of 83,69,897 is 1.
Lets's calculate GCF of 83,69,897
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 83
:1,83
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 897
:1,3,13,23,39,69,299,897
Greatest Common Factor
We found the factors 83,69,897 . The biggest common factor number is the GCF number.
So the greatest common factor 83,69,897 is 1.
Lets's calculate LCM of 500,625,163
5 | 500, 625, 163 |
5 | 100, 125, 163 |
5 | 20, 25, 163 |
4, 5, 163 |
∴ So the LCM of the given numbers is 5 x 5 x 5 x 4 x 5 x 163 = 407500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407500
Therefore, the GCF of Fractions 83/500,69/625,897/163 is 1/407500
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 500,625,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,625,163) = 1
common factors(in case of two or more numbers have common factors) = 125
GCF(500,625,163) x common factors =1 x 125 = 125
LCM(500,625,163) = ( 500 × 625 × 163 ) / 125
LCM(500,625,163) = 50937500 / 125
LCM(500,625,163) = 407500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 83,69,897?
The HCF of 83,69,897 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 83/500, 69/625, 897/163?
Answer: GCF of Numerators as per given numbers 83/500, 69/625, 897/163 is
GCF of Numerators i.e. for 83,69,897 is 1
LCM of denominators i.e. for 500,625,163 is 407500.
Thus, GCF of Fractions is 1/407500.Finally, GCF of Fractions for 83/500, 69/625, 897/163 is 1/407500.