Use our free GCF of Fractions Calculator tool to compute the GCF of 9042/854, 9526/5662 i.e 22/2417674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9042/854, 9526/5662.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9042/854,9526/5662
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 9042/854,9526/5662, numerators are 9042,9526
Denominators are 854,5662
The GCF of 9042,9526 is 22 .
LCM of 854,5662 is 2417674.
The greatest common factor of 9042/854,9526/5662 = [GCF of 9042,9526]/[LCM of 854,5662]= 22/2417674
Therefore, the GCF of 9042/854,9526/5662 is 22/2417674.
To find the highest common factor of 9042,9526, we have to find the factors of both numbers and list the highest common factor.
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The factors of 9526 are 1, 2, 11, 22, 433, 866, 4763, 9526
The HCF of 9042,9526 is 22.
Lets's calculate GCF of 9042,9526
2 | 9042, 9526 |
11 | 4521, 4763 |
411, 433 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Now, list down the factors of 9526
:1,2,11,22,433,866,4763,9526
Greatest Common Factor
We found the factors 9042,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 9042,9526 is 22.
Lets's calculate LCM of 854,5662
2 | 854, 5662 |
427, 2831 |
∴ So the LCM of the given numbers is 2 x 427 x 2831 = 2417674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2417674
Therefore, the GCF of Fractions 9042/854,9526/5662 is 22/2417674
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 854,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,5662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,5662) x common factors =2 x 1 = 2
LCM(854,5662) = ( 854 × 5662 ) / 2
LCM(854,5662) = 4835348 / 2
LCM(854,5662) = 2417674
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9042,9526?
The HCF of 9042,9526 is 22
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 9042/854, 9526/5662?
Answer: GCF of Numerators as per given numbers 9042/854, 9526/5662 is
GCF of Numerators i.e. for 9042,9526 is 22
LCM of denominators i.e. for 854,5662 is 2417674.
Thus, GCF of Fractions is 22/2417674.Finally, GCF of Fractions for 9042/854, 9526/5662 is 22/2417674.