Use our free GCF of Fractions Calculator tool to compute the GCF of 79/39, 131/69, 953/231 i.e 1/69069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/39, 131/69, 953/231.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/39,131/69,953/231
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 79/39,131/69,953/231, numerators are 79,131,953
Denominators are 39,69,231
The GCF of 79,131,953 is 1 .
LCM of 39,69,231 is 69069.
The greatest common factor of 79/39,131/69,953/231 = [GCF of 79,131,953]/[LCM of 39,69,231]= 1/69069
Therefore, the GCF of 79/39,131/69,953/231 is 1/69069.
To find the highest common factor of 79,131,953, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 131 are 1, 131
The factors of 953 are 1, 953
The HCF of 79,131,953 is 1.
Lets's calculate GCF of 79,131,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 131
:1,131
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 79,131,953 . The biggest common factor number is the GCF number.
So the greatest common factor 79,131,953 is 1.
Lets's calculate LCM of 39,69,231
3 | 39, 69, 231 |
13, 23, 77 |
∴ So the LCM of the given numbers is 3 x 13 x 23 x 77 = 69069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69069
Therefore, the GCF of Fractions 79/39,131/69,953/231 is 1/69069
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 39,69,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,69,231) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(39,69,231) x common factors =3 x 3 = 9
LCM(39,69,231) = ( 39 × 69 × 231 ) / 9
LCM(39,69,231) = 621621 / 9
LCM(39,69,231) = 69069
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,131,953?
The HCF of 79,131,953 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 79/39, 131/69, 953/231?
Answer: GCF of Numerators as per given numbers 79/39, 131/69, 953/231 is
GCF of Numerators i.e. for 79,131,953 is 1
LCM of denominators i.e. for 39,69,231 is 69069.
Thus, GCF of Fractions is 1/69069.Finally, GCF of Fractions for 79/39, 131/69, 953/231 is 1/69069.