Use our free GCF of Fractions Calculator tool to compute the GCF of 940/872, 716/596 i.e 4/129928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/872, 716/596.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 940/872,716/596
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 940/872,716/596, numerators are 940,716
Denominators are 872,596
The GCF of 940,716 is 4 .
LCM of 872,596 is 129928.
The greatest common factor of 940/872,716/596 = [GCF of 940,716]/[LCM of 872,596]= 4/129928
Therefore, the GCF of 940/872,716/596 is 4/129928.
To find the highest common factor of 940,716, 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 716 are 1, 2, 4, 179, 358, 716
The HCF of 940,716 is 4.
Lets's calculate GCF of 940,716
2 | 940, 716 |
2 | 470, 358 |
235, 179 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 940,716 . The biggest common factor number is the GCF number.
So the greatest common factor 940,716 is 4.
Lets's calculate LCM of 872,596
2 | 872, 596 |
2 | 436, 298 |
218, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 149 = 129928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/129928
Therefore, the GCF of Fractions 940/872,716/596 is 4/129928
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 872,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,596) x common factors =4 x 1 = 4
LCM(872,596) = ( 872 × 596 ) / 4
LCM(872,596) = 519712 / 4
LCM(872,596) = 129928
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 940,716?
The HCF of 940,716 is 4
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 940/872, 716/596?
Answer: GCF of Numerators as per given numbers 940/872, 716/596 is
GCF of Numerators i.e. for 940,716 is 4
LCM of denominators i.e. for 872,596 is 129928.
Thus, GCF of Fractions is 4/129928.Finally, GCF of Fractions for 940/872, 716/596 is 4/129928.