Use our free GCF of Fractions Calculator tool to compute the GCF of 581/575, 553/678 i.e 7/389850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/575, 553/678.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/575,553/678
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 581/575,553/678, numerators are 581,553
Denominators are 575,678
The GCF of 581,553 is 7 .
LCM of 575,678 is 389850.
The greatest common factor of 581/575,553/678 = [GCF of 581,553]/[LCM of 575,678]= 7/389850
Therefore, the GCF of 581/575,553/678 is 7/389850.
To find the highest common factor of 581,553, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 553 are 1, 7, 79, 553
The HCF of 581,553 is 7.
Lets's calculate GCF of 581,553
7 | 581, 553 |
83, 79 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 553
:1,7,79,553
Greatest Common Factor
We found the factors 581,553 . The biggest common factor number is the GCF number.
So the greatest common factor 581,553 is 7.
Lets's calculate LCM of 575,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 389850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/389850
Therefore, the GCF of Fractions 581/575,553/678 is 7/389850
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 575,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,678) x common factors =1 x 1 = 1
LCM(575,678) = ( 575 × 678 ) / 1
LCM(575,678) = 389850 / 1
LCM(575,678) = 389850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 581,553?
The HCF of 581,553 is 7
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 581/575, 553/678?
Answer: GCF of Numerators as per given numbers 581/575, 553/678 is
GCF of Numerators i.e. for 581,553 is 7
LCM of denominators i.e. for 575,678 is 389850.
Thus, GCF of Fractions is 7/389850.Finally, GCF of Fractions for 581/575, 553/678 is 7/389850.