Use our free GCF of Fractions Calculator tool to compute the GCF of 31/95, 567/57, 206/960 i.e 1/18240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/95, 567/57, 206/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/95,567/57,206/960
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 31/95,567/57,206/960, numerators are 31,567,206
Denominators are 95,57,960
The GCF of 31,567,206 is 1 .
LCM of 95,57,960 is 18240.
The greatest common factor of 31/95,567/57,206/960 = [GCF of 31,567,206]/[LCM of 95,57,960]= 1/18240
Therefore, the GCF of 31/95,567/57,206/960 is 1/18240.
To find the highest common factor of 31,567,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 31 are 1, 31
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 206 are 1, 2, 103, 206
The HCF of 31,567,206 is 1.
Lets's calculate GCF of 31,567,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 31
:1,31
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 31,567,206 . The biggest common factor number is the GCF number.
So the greatest common factor 31,567,206 is 1.
Lets's calculate LCM of 95,57,960
3 | 95, 57, 960 |
5 | 95, 19, 320 |
19 | 19, 19, 64 |
1, 1, 64 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 1 x 1 x 64 = 18240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18240
Therefore, the GCF of Fractions 31/95,567/57,206/960 is 1/18240
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 95,57,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,57,960) = 1
common factors(in case of two or more numbers have common factors) = 285
GCF(95,57,960) x common factors =1 x 285 = 285
LCM(95,57,960) = ( 95 × 57 × 960 ) / 285
LCM(95,57,960) = 5198400 / 285
LCM(95,57,960) = 18240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 31,567,206?
The HCF of 31,567,206 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 31/95, 567/57, 206/960?
Answer: GCF of Numerators as per given numbers 31/95, 567/57, 206/960 is
GCF of Numerators i.e. for 31,567,206 is 1
LCM of denominators i.e. for 95,57,960 is 18240.
Thus, GCF of Fractions is 1/18240.Finally, GCF of Fractions for 31/95, 567/57, 206/960 is 1/18240.