Use our free GCF of Fractions Calculator tool to compute the GCF of 940/593, 250/712 i.e 10/422216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/593, 250/712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/593,250/712
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 940/593,250/712, numerators are 940,250
Denominators are 593,712
The GCF of 940,250 is 10 .
LCM of 593,712 is 422216.
The greatest common factor of 940/593,250/712 = [GCF of 940,250]/[LCM of 593,712]= 10/422216
Therefore, the GCF of 940/593,250/712 is 10/422216.
To find the highest common factor of 940,250, we have to find the factors of both numbers and list the highest common factor.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The HCF of 940,250 is 10.
Lets's calculate GCF of 940,250
2 | 940, 250 |
5 | 470, 125 |
94, 25 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 940,250 . The biggest common factor number is the GCF number.
So the greatest common factor 940,250 is 10.
Lets's calculate LCM of 593,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 422216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/422216
Therefore, the GCF of Fractions 940/593,250/712 is 10/422216
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 593,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,712) x common factors =1 x 1 = 1
LCM(593,712) = ( 593 × 712 ) / 1
LCM(593,712) = 422216 / 1
LCM(593,712) = 422216
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 940,250?
The HCF of 940,250 is 10
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 940/593, 250/712?
Answer: GCF of Numerators as per given numbers 940/593, 250/712 is
GCF of Numerators i.e. for 940,250 is 10
LCM of denominators i.e. for 593,712 is 422216.
Thus, GCF of Fractions is 10/422216.Finally, GCF of Fractions for 940/593, 250/712 is 10/422216.