Use our free GCF of Fractions Calculator tool to compute the GCF of 950/215, 648/919 i.e 2/197585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/215, 648/919.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/215,648/919
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 950/215,648/919, numerators are 950,648
Denominators are 215,919
The GCF of 950,648 is 2 .
LCM of 215,919 is 197585.
The greatest common factor of 950/215,648/919 = [GCF of 950,648]/[LCM of 215,919]= 2/197585
Therefore, the GCF of 950/215,648/919 is 2/197585.
To find the highest common factor of 950,648, 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 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 950,648 is 2.
Lets's calculate GCF of 950,648
2 | 950, 648 |
475, 324 |
∴ So the GCF of the given numbers is 2 = 2
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 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 950,648 . The biggest common factor number is the GCF number.
So the greatest common factor 950,648 is 2.
Lets's calculate LCM of 215,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 197585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197585
Therefore, the GCF of Fractions 950/215,648/919 is 2/197585
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 215,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,919) x common factors =1 x 1 = 1
LCM(215,919) = ( 215 × 919 ) / 1
LCM(215,919) = 197585 / 1
LCM(215,919) = 197585
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 950,648?
The HCF of 950,648 is 2
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 950/215, 648/919?
Answer: GCF of Numerators as per given numbers 950/215, 648/919 is
GCF of Numerators i.e. for 950,648 is 2
LCM of denominators i.e. for 215,919 is 197585.
Thus, GCF of Fractions is 2/197585.Finally, GCF of Fractions for 950/215, 648/919 is 2/197585.