Use our free GCF of Fractions Calculator tool to compute the GCF of 293/606, 580/358 i.e 1/108474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/606, 580/358.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 293/606,580/358
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 293/606,580/358, numerators are 293,580
Denominators are 606,358
The GCF of 293,580 is 1 .
LCM of 606,358 is 108474.
The greatest common factor of 293/606,580/358 = [GCF of 293,580]/[LCM of 606,358]= 1/108474
Therefore, the GCF of 293/606,580/358 is 1/108474.
To find the highest common factor of 293,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 293,580 is 1.
Lets's calculate GCF of 293,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 293
:1,293
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 293,580 . The biggest common factor number is the GCF number.
So the greatest common factor 293,580 is 1.
Lets's calculate LCM of 606,358
2 | 606, 358 |
303, 179 |
∴ So the LCM of the given numbers is 2 x 303 x 179 = 108474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108474
Therefore, the GCF of Fractions 293/606,580/358 is 1/108474
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 606,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,358) x common factors =2 x 1 = 2
LCM(606,358) = ( 606 × 358 ) / 2
LCM(606,358) = 216948 / 2
LCM(606,358) = 108474
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 293,580?
The HCF of 293,580 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 293/606, 580/358?
Answer: GCF of Numerators as per given numbers 293/606, 580/358 is
GCF of Numerators i.e. for 293,580 is 1
LCM of denominators i.e. for 606,358 is 108474.
Thus, GCF of Fractions is 1/108474.Finally, GCF of Fractions for 293/606, 580/358 is 1/108474.