Use our free GCF of Fractions Calculator tool to compute the GCF of 47/280, 786/899, 134/227 i.e 1/57140440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/280, 786/899, 134/227.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/280,786/899,134/227
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 47/280,786/899,134/227, numerators are 47,786,134
Denominators are 280,899,227
The GCF of 47,786,134 is 1 .
LCM of 280,899,227 is 57140440.
The greatest common factor of 47/280,786/899,134/227 = [GCF of 47,786,134]/[LCM of 280,899,227]= 1/57140440
Therefore, the GCF of 47/280,786/899,134/227 is 1/57140440.
To find the highest common factor of 47,786,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 134 are 1, 2, 67, 134
The HCF of 47,786,134 is 1.
Lets's calculate GCF of 47,786,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 47
:1,47
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 47,786,134 . The biggest common factor number is the GCF number.
So the greatest common factor 47,786,134 is 1.
Lets's calculate LCM of 280,899,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 57140440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57140440
Therefore, the GCF of Fractions 47/280,786/899,134/227 is 1/57140440
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 280,899,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,899,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,899,227) x common factors =1 x 1 = 1
LCM(280,899,227) = ( 280 × 899 × 227 ) / 1
LCM(280,899,227) = 57140440 / 1
LCM(280,899,227) = 57140440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 47,786,134?
The HCF of 47,786,134 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 47/280, 786/899, 134/227?
Answer: GCF of Numerators as per given numbers 47/280, 786/899, 134/227 is
GCF of Numerators i.e. for 47,786,134 is 1
LCM of denominators i.e. for 280,899,227 is 57140440.
Thus, GCF of Fractions is 1/57140440.Finally, GCF of Fractions for 47/280, 786/899, 134/227 is 1/57140440.