Use our free GCF of Fractions Calculator tool to compute the GCF of 92/28, 469/36, 615/557 i.e 1/140364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/28, 469/36, 615/557.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/28,469/36,615/557
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 92/28,469/36,615/557, numerators are 92,469,615
Denominators are 28,36,557
The GCF of 92,469,615 is 1 .
LCM of 28,36,557 is 140364.
The greatest common factor of 92/28,469/36,615/557 = [GCF of 92,469,615]/[LCM of 28,36,557]= 1/140364
Therefore, the GCF of 92/28,469/36,615/557 is 1/140364.
To find the highest common factor of 92,469,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 469 are 1, 7, 67, 469
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 92,469,615 is 1.
Lets's calculate GCF of 92,469,615
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 469
:1,7,67,469
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 92,469,615 . The biggest common factor number is the GCF number.
So the greatest common factor 92,469,615 is 1.
Lets's calculate LCM of 28,36,557
2 | 28, 36, 557 |
2 | 14, 18, 557 |
7, 9, 557 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 9 x 557 = 140364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140364
Therefore, the GCF of Fractions 92/28,469/36,615/557 is 1/140364
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 28,36,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,36,557) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,36,557) x common factors =1 x 4 = 4
LCM(28,36,557) = ( 28 × 36 × 557 ) / 4
LCM(28,36,557) = 561456 / 4
LCM(28,36,557) = 140364
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,469,615?
The HCF of 92,469,615 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 92/28, 469/36, 615/557?
Answer: GCF of Numerators as per given numbers 92/28, 469/36, 615/557 is
GCF of Numerators i.e. for 92,469,615 is 1
LCM of denominators i.e. for 28,36,557 is 140364.
Thus, GCF of Fractions is 1/140364.Finally, GCF of Fractions for 92/28, 469/36, 615/557 is 1/140364.