Use our free GCF of Fractions Calculator tool to compute the GCF of 640/115, 442/529 i.e 2/2645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/115, 442/529.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/115,442/529
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 640/115,442/529, numerators are 640,442
Denominators are 115,529
The GCF of 640,442 is 2 .
LCM of 115,529 is 2645.
The greatest common factor of 640/115,442/529 = [GCF of 640,442]/[LCM of 115,529]= 2/2645
Therefore, the GCF of 640/115,442/529 is 2/2645.
To find the highest common factor of 640,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 640,442 is 2.
Lets's calculate GCF of 640,442
2 | 640, 442 |
320, 221 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 640,442 . The biggest common factor number is the GCF number.
So the greatest common factor 640,442 is 2.
Lets's calculate LCM of 115,529
23 | 115, 529 |
5, 23 |
∴ So the LCM of the given numbers is 23 x 5 x 23 = 2645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2645
Therefore, the GCF of Fractions 640/115,442/529 is 2/2645
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 115,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,529) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(115,529) x common factors =23 x 1 = 23
LCM(115,529) = ( 115 × 529 ) / 23
LCM(115,529) = 60835 / 23
LCM(115,529) = 2645
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 640,442?
The HCF of 640,442 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 640/115, 442/529?
Answer: GCF of Numerators as per given numbers 640/115, 442/529 is
GCF of Numerators i.e. for 640,442 is 2
LCM of denominators i.e. for 115,529 is 2645.
Thus, GCF of Fractions is 2/2645.Finally, GCF of Fractions for 640/115, 442/529 is 2/2645.