Use our free GCF of Fractions Calculator tool to compute the GCF of 29/611, 75/587, 205/860 i.e 1/308445020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/611, 75/587, 205/860.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/611,75/587,205/860
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 29/611,75/587,205/860, numerators are 29,75,205
Denominators are 611,587,860
The GCF of 29,75,205 is 1 .
LCM of 611,587,860 is 308445020.
The greatest common factor of 29/611,75/587,205/860 = [GCF of 29,75,205]/[LCM of 611,587,860]= 1/308445020
Therefore, the GCF of 29/611,75/587,205/860 is 1/308445020.
To find the highest common factor of 29,75,205, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 205 are 1, 5, 41, 205
The HCF of 29,75,205 is 1.
Lets's calculate GCF of 29,75,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 29
:1,29
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 205
:1,5,41,205
Greatest Common Factor
We found the factors 29,75,205 . The biggest common factor number is the GCF number.
So the greatest common factor 29,75,205 is 1.
Lets's calculate LCM of 611,587,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 308445020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308445020
Therefore, the GCF of Fractions 29/611,75/587,205/860 is 1/308445020
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 611,587,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,587,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,587,860) x common factors =1 x 1 = 1
LCM(611,587,860) = ( 611 × 587 × 860 ) / 1
LCM(611,587,860) = 308445020 / 1
LCM(611,587,860) = 308445020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,75,205?
The HCF of 29,75,205 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 29/611, 75/587, 205/860?
Answer: GCF of Numerators as per given numbers 29/611, 75/587, 205/860 is
GCF of Numerators i.e. for 29,75,205 is 1
LCM of denominators i.e. for 611,587,860 is 308445020.
Thus, GCF of Fractions is 1/308445020.Finally, GCF of Fractions for 29/611, 75/587, 205/860 is 1/308445020.