Use our free GCF of Fractions Calculator tool to compute the GCF of 375/183, 150/840 i.e 75/51240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 375/183, 150/840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 375/183,150/840
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 375/183,150/840, numerators are 375,150
Denominators are 183,840
The GCF of 375,150 is 75 .
LCM of 183,840 is 51240.
The greatest common factor of 375/183,150/840 = [GCF of 375,150]/[LCM of 183,840]= 75/51240
Therefore, the GCF of 375/183,150/840 is 75/51240.
To find the highest common factor of 375,150, 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 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 375,150 is 75.
Lets's calculate GCF of 375,150
3 | 375, 150 |
5 | 125, 50 |
5 | 25, 10 |
5, 2 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 375,150 . The biggest common factor number is the GCF number.
So the greatest common factor 375,150 is 75.
Lets's calculate LCM of 183,840
3 | 183, 840 |
61, 280 |
∴ So the LCM of the given numbers is 3 x 61 x 280 = 51240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/51240
Therefore, the GCF of Fractions 375/183,150/840 is 75/51240
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 183,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,840) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,840) x common factors =3 x 1 = 3
LCM(183,840) = ( 183 × 840 ) / 3
LCM(183,840) = 153720 / 3
LCM(183,840) = 51240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 375,150?
The HCF of 375,150 is 75
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 375/183, 150/840?
Answer: GCF of Numerators as per given numbers 375/183, 150/840 is
GCF of Numerators i.e. for 375,150 is 75
LCM of denominators i.e. for 183,840 is 51240.
Thus, GCF of Fractions is 75/51240.Finally, GCF of Fractions for 375/183, 150/840 is 75/51240.