Use our free GCF of Fractions Calculator tool to compute the GCF of 950/939, 901/960 i.e 1/300480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/939, 901/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/939,901/960
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 950/939,901/960, numerators are 950,901
Denominators are 939,960
The GCF of 950,901 is 1 .
LCM of 939,960 is 300480.
The greatest common factor of 950/939,901/960 = [GCF of 950,901]/[LCM of 939,960]= 1/300480
Therefore, the GCF of 950/939,901/960 is 1/300480.
To find the highest common factor of 950,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
The factors of 901 are 1, 17, 53, 901
The HCF of 950,901 is 1.
Lets's calculate GCF of 950,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 950
:1,2,5,10,19,25,38,50,95,190,475,950
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 950,901 . The biggest common factor number is the GCF number.
So the greatest common factor 950,901 is 1.
Lets's calculate LCM of 939,960
3 | 939, 960 |
313, 320 |
∴ So the LCM of the given numbers is 3 x 313 x 320 = 300480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300480
Therefore, the GCF of Fractions 950/939,901/960 is 1/300480
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 939,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,960) x common factors =3 x 1 = 3
LCM(939,960) = ( 939 × 960 ) / 3
LCM(939,960) = 901440 / 3
LCM(939,960) = 300480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 950,901?
The HCF of 950,901 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 950/939, 901/960?
Answer: GCF of Numerators as per given numbers 950/939, 901/960 is
GCF of Numerators i.e. for 950,901 is 1
LCM of denominators i.e. for 939,960 is 300480.
Thus, GCF of Fractions is 1/300480.Finally, GCF of Fractions for 950/939, 901/960 is 1/300480.