Use our free GCF of Fractions Calculator tool to compute the GCF of 673/78, 268/24, 115/372 i.e 1/9672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/78, 268/24, 115/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/78,268/24,115/372
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 673/78,268/24,115/372, numerators are 673,268,115
Denominators are 78,24,372
The GCF of 673,268,115 is 1 .
LCM of 78,24,372 is 9672.
The greatest common factor of 673/78,268/24,115/372 = [GCF of 673,268,115]/[LCM of 78,24,372]= 1/9672
Therefore, the GCF of 673/78,268/24,115/372 is 1/9672.
To find the highest common factor of 673,268,115, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 115 are 1, 5, 23, 115
The HCF of 673,268,115 is 1.
Lets's calculate GCF of 673,268,115
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 673
:1,673
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 115
:1,5,23,115
Greatest Common Factor
We found the factors 673,268,115 . The biggest common factor number is the GCF number.
So the greatest common factor 673,268,115 is 1.
Lets's calculate LCM of 78,24,372
2 | 78, 24, 372 |
2 | 39, 12, 186 |
3 | 39, 6, 93 |
13, 2, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 2 x 31 = 9672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9672
Therefore, the GCF of Fractions 673/78,268/24,115/372 is 1/9672
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 78,24,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,24,372) = 6
common factors(in case of two or more numbers have common factors) = 12
GCF(78,24,372) x common factors =6 x 12 = 72
LCM(78,24,372) = ( 78 × 24 × 372 ) / 72
LCM(78,24,372) = 696384 / 72
LCM(78,24,372) = 9672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 673,268,115?
The HCF of 673,268,115 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 673/78, 268/24, 115/372?
Answer: GCF of Numerators as per given numbers 673/78, 268/24, 115/372 is
GCF of Numerators i.e. for 673,268,115 is 1
LCM of denominators i.e. for 78,24,372 is 9672.
Thus, GCF of Fractions is 1/9672.Finally, GCF of Fractions for 673/78, 268/24, 115/372 is 1/9672.