Use our free GCF of Fractions Calculator tool to compute the GCF of 375/162, 183/427 i.e 3/69174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/162, 183/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/162,183/427
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 375/162,183/427, numerators are 375,183
Denominators are 162,427
The GCF of 375,183 is 3 .
LCM of 162,427 is 69174.
The greatest common factor of 375/162,183/427 = [GCF of 375,183]/[LCM of 162,427]= 3/69174
Therefore, the GCF of 375/162,183/427 is 3/69174.
To find the highest common factor of 375,183, we have to find the factors of both numbers and list the highest common factor.
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 183 are 1, 3, 61, 183
The HCF of 375,183 is 3.
Lets's calculate GCF of 375,183
3 | 375, 183 |
125, 61 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 183
:1,3,61,183
Greatest Common Factor
We found the factors 375,183 . The biggest common factor number is the GCF number.
So the greatest common factor 375,183 is 3.
Lets's calculate LCM of 162,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 69174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/69174
Therefore, the GCF of Fractions 375/162,183/427 is 3/69174
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 162,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,427) x common factors =1 x 1 = 1
LCM(162,427) = ( 162 × 427 ) / 1
LCM(162,427) = 69174 / 1
LCM(162,427) = 69174
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 375,183?
The HCF of 375,183 is 3
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 375/162, 183/427?
Answer: GCF of Numerators as per given numbers 375/162, 183/427 is
GCF of Numerators i.e. for 375,183 is 3
LCM of denominators i.e. for 162,427 is 69174.
Thus, GCF of Fractions is 3/69174.Finally, GCF of Fractions for 375/162, 183/427 is 3/69174.