Use our free GCF of Fractions Calculator tool to compute the GCF of 42/22, 868/69, 580/296 i.e 2/224664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/22, 868/69, 580/296.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/22,868/69,580/296
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 42/22,868/69,580/296, numerators are 42,868,580
Denominators are 22,69,296
The GCF of 42,868,580 is 2 .
LCM of 22,69,296 is 224664.
The greatest common factor of 42/22,868/69,580/296 = [GCF of 42,868,580]/[LCM of 22,69,296]= 2/224664
Therefore, the GCF of 42/22,868/69,580/296 is 2/224664.
To find the highest common factor of 42,868,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 42,868,580 is 2.
Lets's calculate GCF of 42,868,580
2 | 42, 868, 580 |
21, 434, 290 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 868
:1,2,4,7,14,28,31,62,124,217,434,868
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 42,868,580 . The biggest common factor number is the GCF number.
So the greatest common factor 42,868,580 is 2.
Lets's calculate LCM of 22,69,296
2 | 22, 69, 296 |
11, 69, 148 |
∴ So the LCM of the given numbers is 2 x 11 x 69 x 148 = 224664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224664
Therefore, the GCF of Fractions 42/22,868/69,580/296 is 2/224664
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 22,69,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,69,296) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,69,296) x common factors =1 x 2 = 2
LCM(22,69,296) = ( 22 × 69 × 296 ) / 2
LCM(22,69,296) = 449328 / 2
LCM(22,69,296) = 224664
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 42,868,580?
The HCF of 42,868,580 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 42/22, 868/69, 580/296?
Answer: GCF of Numerators as per given numbers 42/22, 868/69, 580/296 is
GCF of Numerators i.e. for 42,868,580 is 2
LCM of denominators i.e. for 22,69,296 is 224664.
Thus, GCF of Fractions is 2/224664.Finally, GCF of Fractions for 42/22, 868/69, 580/296 is 2/224664.