Use our free GCF of Fractions Calculator tool to compute the GCF of 290/329, 155/150 i.e 5/49350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/329, 155/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/329,155/150
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 290/329,155/150, numerators are 290,155
Denominators are 329,150
The GCF of 290,155 is 5 .
LCM of 329,150 is 49350.
The greatest common factor of 290/329,155/150 = [GCF of 290,155]/[LCM of 329,150]= 5/49350
Therefore, the GCF of 290/329,155/150 is 5/49350.
To find the highest common factor of 290,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 155 are 1, 5, 31, 155
The HCF of 290,155 is 5.
Lets's calculate GCF of 290,155
5 | 290, 155 |
58, 31 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 290,155 . The biggest common factor number is the GCF number.
So the greatest common factor 290,155 is 5.
Lets's calculate LCM of 329,150
Given numbers has no common factors except 1. So, there LCM is their product i.e 49350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/49350
Therefore, the GCF of Fractions 290/329,155/150 is 5/49350
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 329,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,150) x common factors =1 x 1 = 1
LCM(329,150) = ( 329 × 150 ) / 1
LCM(329,150) = 49350 / 1
LCM(329,150) = 49350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,155?
The HCF of 290,155 is 5
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 290/329, 155/150?
Answer: GCF of Numerators as per given numbers 290/329, 155/150 is
GCF of Numerators i.e. for 290,155 is 5
LCM of denominators i.e. for 329,150 is 49350.
Thus, GCF of Fractions is 5/49350.Finally, GCF of Fractions for 290/329, 155/150 is 5/49350.