Use our free GCF of Fractions Calculator tool to compute the GCF of 29/86, 628/47, 422/139 i.e 1/561838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/86, 628/47, 422/139.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/86,628/47,422/139
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 29/86,628/47,422/139, numerators are 29,628,422
Denominators are 86,47,139
The GCF of 29,628,422 is 1 .
LCM of 86,47,139 is 561838.
The greatest common factor of 29/86,628/47,422/139 = [GCF of 29,628,422]/[LCM of 86,47,139]= 1/561838
Therefore, the GCF of 29/86,628/47,422/139 is 1/561838.
To find the highest common factor of 29,628,422, 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 628 are 1, 2, 4, 157, 314, 628
The factors of 422 are 1, 2, 211, 422
The HCF of 29,628,422 is 1.
Lets's calculate GCF of 29,628,422
∴ 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 628
:1,2,4,157,314,628
Now, list down the factors of 422
:1,2,211,422
Greatest Common Factor
We found the factors 29,628,422 . The biggest common factor number is the GCF number.
So the greatest common factor 29,628,422 is 1.
Lets's calculate LCM of 86,47,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 561838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561838
Therefore, the GCF of Fractions 29/86,628/47,422/139 is 1/561838
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 86,47,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,47,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,47,139) x common factors =1 x 1 = 1
LCM(86,47,139) = ( 86 × 47 × 139 ) / 1
LCM(86,47,139) = 561838 / 1
LCM(86,47,139) = 561838
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,628,422?
The HCF of 29,628,422 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 29/86, 628/47, 422/139?
Answer: GCF of Numerators as per given numbers 29/86, 628/47, 422/139 is
GCF of Numerators i.e. for 29,628,422 is 1
LCM of denominators i.e. for 86,47,139 is 561838.
Thus, GCF of Fractions is 1/561838.Finally, GCF of Fractions for 29/86, 628/47, 422/139 is 1/561838.