Use our free GCF of Fractions Calculator tool to compute the GCF of 575/888, 207/623 i.e 23/553224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 575/888, 207/623.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 575/888,207/623
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 575/888,207/623, numerators are 575,207
Denominators are 888,623
The GCF of 575,207 is 23 .
LCM of 888,623 is 553224.
The greatest common factor of 575/888,207/623 = [GCF of 575,207]/[LCM of 888,623]= 23/553224
Therefore, the GCF of 575/888,207/623 is 23/553224.
To find the highest common factor of 575,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 575,207 is 23.
Lets's calculate GCF of 575,207
23 | 575, 207 |
25, 9 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 575,207 . The biggest common factor number is the GCF number.
So the greatest common factor 575,207 is 23.
Lets's calculate LCM of 888,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 553224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/553224
Therefore, the GCF of Fractions 575/888,207/623 is 23/553224
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 888,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(888,623) x common factors =1 x 1 = 1
LCM(888,623) = ( 888 × 623 ) / 1
LCM(888,623) = 553224 / 1
LCM(888,623) = 553224
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 575,207?
The HCF of 575,207 is 23
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 575/888, 207/623?
Answer: GCF of Numerators as per given numbers 575/888, 207/623 is
GCF of Numerators i.e. for 575,207 is 23
LCM of denominators i.e. for 888,623 is 553224.
Thus, GCF of Fractions is 23/553224.Finally, GCF of Fractions for 575/888, 207/623 is 23/553224.