Use our free GCF of Fractions Calculator tool to compute the GCF of 150/296, 948/941 i.e 6/278536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/296, 948/941.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/296,948/941
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 150/296,948/941, numerators are 150,948
Denominators are 296,941
The GCF of 150,948 is 6 .
LCM of 296,941 is 278536.
The greatest common factor of 150/296,948/941 = [GCF of 150,948]/[LCM of 296,941]= 6/278536
Therefore, the GCF of 150/296,948/941 is 6/278536.
To find the highest common factor of 150,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 150,948 is 6.
Lets's calculate GCF of 150,948
2 | 150, 948 |
3 | 75, 474 |
25, 158 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 150,948 . The biggest common factor number is the GCF number.
So the greatest common factor 150,948 is 6.
Lets's calculate LCM of 296,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 278536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/278536
Therefore, the GCF of Fractions 150/296,948/941 is 6/278536
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 296,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,941) x common factors =1 x 1 = 1
LCM(296,941) = ( 296 × 941 ) / 1
LCM(296,941) = 278536 / 1
LCM(296,941) = 278536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 150,948?
The HCF of 150,948 is 6
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 150/296, 948/941?
Answer: GCF of Numerators as per given numbers 150/296, 948/941 is
GCF of Numerators i.e. for 150,948 is 6
LCM of denominators i.e. for 296,941 is 278536.
Thus, GCF of Fractions is 6/278536.Finally, GCF of Fractions for 150/296, 948/941 is 6/278536.