Use our free GCF of Fractions Calculator tool to compute the GCF of 37/558, 729/349, 169/605 i.e 1/117818910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 37/558, 729/349, 169/605.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/558,729/349,169/605
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 37/558,729/349,169/605, numerators are 37,729,169
Denominators are 558,349,605
The GCF of 37,729,169 is 1 .
LCM of 558,349,605 is 117818910.
The greatest common factor of 37/558,729/349,169/605 = [GCF of 37,729,169]/[LCM of 558,349,605]= 1/117818910
Therefore, the GCF of 37/558,729/349,169/605 is 1/117818910.
To find the highest common factor of 37,729,169, we have to find the factors of both numbers and list the highest common factor.
The factors of 37 are 1, 37
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 169 are 1, 13, 169
The HCF of 37,729,169 is 1.
Lets's calculate GCF of 37,729,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 37
:1,37
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 169
:1,13,169
Greatest Common Factor
We found the factors 37,729,169 . The biggest common factor number is the GCF number.
So the greatest common factor 37,729,169 is 1.
Lets's calculate LCM of 558,349,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 117818910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117818910
Therefore, the GCF of Fractions 37/558,729/349,169/605 is 1/117818910
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 558,349,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,349,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,349,605) x common factors =1 x 1 = 1
LCM(558,349,605) = ( 558 × 349 × 605 ) / 1
LCM(558,349,605) = 117818910 / 1
LCM(558,349,605) = 117818910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 37,729,169?
The HCF of 37,729,169 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 37/558, 729/349, 169/605?
Answer: GCF of Numerators as per given numbers 37/558, 729/349, 169/605 is
GCF of Numerators i.e. for 37,729,169 is 1
LCM of denominators i.e. for 558,349,605 is 117818910.
Thus, GCF of Fractions is 1/117818910.Finally, GCF of Fractions for 37/558, 729/349, 169/605 is 1/117818910.