Use our free GCF of Fractions Calculator tool to compute the GCF of 75/683, 665/449, 289/721 i.e 1/221106907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/683, 665/449, 289/721.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/683,665/449,289/721
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 75/683,665/449,289/721, numerators are 75,665,289
Denominators are 683,449,721
The GCF of 75,665,289 is 1 .
LCM of 683,449,721 is 221106907.
The greatest common factor of 75/683,665/449,289/721 = [GCF of 75,665,289]/[LCM of 683,449,721]= 1/221106907
Therefore, the GCF of 75/683,665/449,289/721 is 1/221106907.
To find the highest common factor of 75,665,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665
The factors of 289 are 1, 17, 289
The HCF of 75,665,289 is 1.
Lets's calculate GCF of 75,665,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 665
:1,5,7,19,35,95,133,665
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 75,665,289 . The biggest common factor number is the GCF number.
So the greatest common factor 75,665,289 is 1.
Lets's calculate LCM of 683,449,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 221106907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221106907
Therefore, the GCF of Fractions 75/683,665/449,289/721 is 1/221106907
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 683,449,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,449,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,449,721) x common factors =1 x 1 = 1
LCM(683,449,721) = ( 683 × 449 × 721 ) / 1
LCM(683,449,721) = 221106907 / 1
LCM(683,449,721) = 221106907
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 75,665,289?
The HCF of 75,665,289 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 75/683, 665/449, 289/721?
Answer: GCF of Numerators as per given numbers 75/683, 665/449, 289/721 is
GCF of Numerators i.e. for 75,665,289 is 1
LCM of denominators i.e. for 683,449,721 is 221106907.
Thus, GCF of Fractions is 1/221106907.Finally, GCF of Fractions for 75/683, 665/449, 289/721 is 1/221106907.