Use our free GCF of Fractions Calculator tool to compute the GCF of 722/150, 379/900 i.e 1/900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/150, 379/900.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 722/150,379/900
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 722/150,379/900, numerators are 722,379
Denominators are 150,900
The GCF of 722,379 is 1 .
LCM of 150,900 is 900.
The greatest common factor of 722/150,379/900 = [GCF of 722,379]/[LCM of 150,900]= 1/900
Therefore, the GCF of 722/150,379/900 is 1/900.
To find the highest common factor of 722,379, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 379 are 1, 379
The HCF of 722,379 is 1.
Lets's calculate GCF of 722,379
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 379
:1,379
Greatest Common Factor
We found the factors 722,379 . The biggest common factor number is the GCF number.
So the greatest common factor 722,379 is 1.
Lets's calculate LCM of 150,900
2 | 150, 900 |
3 | 75, 450 |
5 | 25, 150 |
5 | 5, 30 |
1, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 6 = 900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900
Therefore, the GCF of Fractions 722/150,379/900 is 1/900
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 150,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,900) = 150
common factors(in case of two or more numbers have common factors) = 1
GCF(150,900) x common factors =150 x 1 = 150
LCM(150,900) = ( 150 × 900 ) / 150
LCM(150,900) = 135000 / 150
LCM(150,900) = 900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 722,379?
The HCF of 722,379 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 722/150, 379/900?
Answer: GCF of Numerators as per given numbers 722/150, 379/900 is
GCF of Numerators i.e. for 722,379 is 1
LCM of denominators i.e. for 150,900 is 900.
Thus, GCF of Fractions is 1/900.Finally, GCF of Fractions for 722/150, 379/900 is 1/900.