Use our free GCF of Fractions Calculator tool to compute the GCF of 13/639, 555/157, 116/471 i.e 1/100323 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/639, 555/157, 116/471.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/639,555/157,116/471
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 13/639,555/157,116/471, numerators are 13,555,116
Denominators are 639,157,471
The GCF of 13,555,116 is 1 .
LCM of 639,157,471 is 100323.
The greatest common factor of 13/639,555/157,116/471 = [GCF of 13,555,116]/[LCM of 639,157,471]= 1/100323
Therefore, the GCF of 13/639,555/157,116/471 is 1/100323.
To find the highest common factor of 13,555,116, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 116 are 1, 2, 4, 29, 58, 116
The HCF of 13,555,116 is 1.
Lets's calculate GCF of 13,555,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 116
:1,2,4,29,58,116
Greatest Common Factor
We found the factors 13,555,116 . The biggest common factor number is the GCF number.
So the greatest common factor 13,555,116 is 1.
Lets's calculate LCM of 639,157,471
3 | 639, 157, 471 |
157 | 213, 157, 157 |
213, 1, 1 |
∴ So the LCM of the given numbers is 3 x 157 x 213 x 1 x 1 = 100323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100323
Therefore, the GCF of Fractions 13/639,555/157,116/471 is 1/100323
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 639,157,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,157,471) = 1
common factors(in case of two or more numbers have common factors) = 471
GCF(639,157,471) x common factors =1 x 471 = 471
LCM(639,157,471) = ( 639 × 157 × 471 ) / 471
LCM(639,157,471) = 47252133 / 471
LCM(639,157,471) = 100323
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,555,116?
The HCF of 13,555,116 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 13/639, 555/157, 116/471?
Answer: GCF of Numerators as per given numbers 13/639, 555/157, 116/471 is
GCF of Numerators i.e. for 13,555,116 is 1
LCM of denominators i.e. for 639,157,471 is 100323.
Thus, GCF of Fractions is 1/100323.Finally, GCF of Fractions for 13/639, 555/157, 116/471 is 1/100323.