Use our free GCF of Fractions Calculator tool to compute the GCF of 626/132, 723/438 i.e 1/9636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/132, 723/438.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/132,723/438
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 626/132,723/438, numerators are 626,723
Denominators are 132,438
The GCF of 626,723 is 1 .
LCM of 132,438 is 9636.
The greatest common factor of 626/132,723/438 = [GCF of 626,723]/[LCM of 132,438]= 1/9636
Therefore, the GCF of 626/132,723/438 is 1/9636.
To find the highest common factor of 626,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 626 are 1, 2, 313, 626
The factors of 723 are 1, 3, 241, 723
The HCF of 626,723 is 1.
Lets's calculate GCF of 626,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 626,723 . The biggest common factor number is the GCF number.
So the greatest common factor 626,723 is 1.
Lets's calculate LCM of 132,438
2 | 132, 438 |
3 | 66, 219 |
22, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 22 x 73 = 9636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9636
Therefore, the GCF of Fractions 626/132,723/438 is 1/9636
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 132,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(132,438) x common factors =6 x 1 = 6
LCM(132,438) = ( 132 × 438 ) / 6
LCM(132,438) = 57816 / 6
LCM(132,438) = 9636
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 626,723?
The HCF of 626,723 is 1
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 626/132, 723/438?
Answer: GCF of Numerators as per given numbers 626/132, 723/438 is
GCF of Numerators i.e. for 626,723 is 1
LCM of denominators i.e. for 132,438 is 9636.
Thus, GCF of Fractions is 1/9636.Finally, GCF of Fractions for 626/132, 723/438 is 1/9636.