Use our free GCF of Fractions Calculator tool to compute the GCF of 3502/226, 8748/2888 i.e 2/326344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3502/226, 8748/2888.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3502/226,8748/2888
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 3502/226,8748/2888, numerators are 3502,8748
Denominators are 226,2888
The GCF of 3502,8748 is 2 .
LCM of 226,2888 is 326344.
The greatest common factor of 3502/226,8748/2888 = [GCF of 3502,8748]/[LCM of 226,2888]= 2/326344
Therefore, the GCF of 3502/226,8748/2888 is 2/326344.
To find the highest common factor of 3502,8748, we have to find the factors of both numbers and list the highest common factor.
The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502
The factors of 8748 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748
The HCF of 3502,8748 is 2.
Lets's calculate GCF of 3502,8748
2 | 3502, 8748 |
1751, 4374 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3502
:1,2,17,34,103,206,1751,3502
Now, list down the factors of 8748
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748
Greatest Common Factor
We found the factors 3502,8748 . The biggest common factor number is the GCF number.
So the greatest common factor 3502,8748 is 2.
Lets's calculate LCM of 226,2888
2 | 226, 2888 |
113, 1444 |
∴ So the LCM of the given numbers is 2 x 113 x 1444 = 326344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/326344
Therefore, the GCF of Fractions 3502/226,8748/2888 is 2/326344
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 226,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,2888) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,2888) x common factors =2 x 1 = 2
LCM(226,2888) = ( 226 × 2888 ) / 2
LCM(226,2888) = 652688 / 2
LCM(226,2888) = 326344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3502,8748?
The HCF of 3502,8748 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 3502/226, 8748/2888?
Answer: GCF of Numerators as per given numbers 3502/226, 8748/2888 is
GCF of Numerators i.e. for 3502,8748 is 2
LCM of denominators i.e. for 226,2888 is 326344.
Thus, GCF of Fractions is 2/326344.Finally, GCF of Fractions for 3502/226, 8748/2888 is 2/326344.