Use our free GCF of Fractions Calculator tool to compute the GCF of 185/790, 542/608 i.e 1/240160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 185/790, 542/608.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 185/790,542/608
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 185/790,542/608, numerators are 185,542
Denominators are 790,608
The GCF of 185,542 is 1 .
LCM of 790,608 is 240160.
The greatest common factor of 185/790,542/608 = [GCF of 185,542]/[LCM of 790,608]= 1/240160
Therefore, the GCF of 185/790,542/608 is 1/240160.
To find the highest common factor of 185,542, we have to find the factors of both numbers and list the highest common factor.
The factors of 185 are 1, 5, 37, 185
The factors of 542 are 1, 2, 271, 542
The HCF of 185,542 is 1.
Lets's calculate GCF of 185,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 185
:1,5,37,185
Now, list down the factors of 542
:1,2,271,542
Greatest Common Factor
We found the factors 185,542 . The biggest common factor number is the GCF number.
So the greatest common factor 185,542 is 1.
Lets's calculate LCM of 790,608
2 | 790, 608 |
395, 304 |
∴ So the LCM of the given numbers is 2 x 395 x 304 = 240160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240160
Therefore, the GCF of Fractions 185/790,542/608 is 1/240160
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 790,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,608) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,608) x common factors =2 x 1 = 2
LCM(790,608) = ( 790 × 608 ) / 2
LCM(790,608) = 480320 / 2
LCM(790,608) = 240160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 185,542?
The HCF of 185,542 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 185/790, 542/608?
Answer: GCF of Numerators as per given numbers 185/790, 542/608 is
GCF of Numerators i.e. for 185,542 is 1
LCM of denominators i.e. for 790,608 is 240160.
Thus, GCF of Fractions is 1/240160.Finally, GCF of Fractions for 185/790, 542/608 is 1/240160.