Use our free GCF of Fractions Calculator tool to compute the GCF of 119/608, 574/358 i.e 7/108832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 119/608, 574/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/608,574/358
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 119/608,574/358, numerators are 119,574
Denominators are 608,358
The GCF of 119,574 is 7 .
LCM of 608,358 is 108832.
The greatest common factor of 119/608,574/358 = [GCF of 119,574]/[LCM of 608,358]= 7/108832
Therefore, the GCF of 119/608,574/358 is 7/108832.
To find the highest common factor of 119,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 119 are 1, 7, 17, 119
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 119,574 is 7.
Lets's calculate GCF of 119,574
7 | 119, 574 |
17, 82 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 119
:1,7,17,119
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 119,574 . The biggest common factor number is the GCF number.
So the greatest common factor 119,574 is 7.
Lets's calculate LCM of 608,358
2 | 608, 358 |
304, 179 |
∴ So the LCM of the given numbers is 2 x 304 x 179 = 108832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/108832
Therefore, the GCF of Fractions 119/608,574/358 is 7/108832
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 608,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,358) x common factors =2 x 1 = 2
LCM(608,358) = ( 608 × 358 ) / 2
LCM(608,358) = 217664 / 2
LCM(608,358) = 108832
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 119,574?
The HCF of 119,574 is 7
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 119/608, 574/358?
Answer: GCF of Numerators as per given numbers 119/608, 574/358 is
GCF of Numerators i.e. for 119,574 is 7
LCM of denominators i.e. for 608,358 is 108832.
Thus, GCF of Fractions is 7/108832.Finally, GCF of Fractions for 119/608, 574/358 is 7/108832.