Use our free GCF of Fractions Calculator tool to compute the GCF of 950/882, 603/935 i.e 1/824670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 950/882, 603/935.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/882,603/935
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 950/882,603/935, numerators are 950,603
Denominators are 882,935
The GCF of 950,603 is 1 .
LCM of 882,935 is 824670.
The greatest common factor of 950/882,603/935 = [GCF of 950,603]/[LCM of 882,935]= 1/824670
Therefore, the GCF of 950/882,603/935 is 1/824670.
To find the highest common factor of 950,603, 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 603 are 1, 3, 9, 67, 201, 603
The HCF of 950,603 is 1.
Lets's calculate GCF of 950,603
∴ 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 603
:1,3,9,67,201,603
Greatest Common Factor
We found the factors 950,603 . The biggest common factor number is the GCF number.
So the greatest common factor 950,603 is 1.
Lets's calculate LCM of 882,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 824670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824670
Therefore, the GCF of Fractions 950/882,603/935 is 1/824670
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 882,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,935) x common factors =1 x 1 = 1
LCM(882,935) = ( 882 × 935 ) / 1
LCM(882,935) = 824670 / 1
LCM(882,935) = 824670
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 950,603?
The HCF of 950,603 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 950/882, 603/935?
Answer: GCF of Numerators as per given numbers 950/882, 603/935 is
GCF of Numerators i.e. for 950,603 is 1
LCM of denominators i.e. for 882,935 is 824670.
Thus, GCF of Fractions is 1/824670.Finally, GCF of Fractions for 950/882, 603/935 is 1/824670.