Use our free GCF of Fractions Calculator tool to compute the GCF of 227/369, 167/889 i.e 1/328041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/369, 167/889.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 227/369,167/889
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 227/369,167/889, numerators are 227,167
Denominators are 369,889
The GCF of 227,167 is 1 .
LCM of 369,889 is 328041.
The greatest common factor of 227/369,167/889 = [GCF of 227,167]/[LCM of 369,889]= 1/328041
Therefore, the GCF of 227/369,167/889 is 1/328041.
To find the highest common factor of 227,167, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 167 are 1, 167
The HCF of 227,167 is 1.
Lets's calculate GCF of 227,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 227
:1,227
Now, list down the factors of 167
:1,167
Greatest Common Factor
We found the factors 227,167 . The biggest common factor number is the GCF number.
So the greatest common factor 227,167 is 1.
Lets's calculate LCM of 369,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 328041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328041
Therefore, the GCF of Fractions 227/369,167/889 is 1/328041
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 369,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,889) x common factors =1 x 1 = 1
LCM(369,889) = ( 369 × 889 ) / 1
LCM(369,889) = 328041 / 1
LCM(369,889) = 328041
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 227,167?
The HCF of 227,167 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 227/369, 167/889?
Answer: GCF of Numerators as per given numbers 227/369, 167/889 is
GCF of Numerators i.e. for 227,167 is 1
LCM of denominators i.e. for 369,889 is 328041.
Thus, GCF of Fractions is 1/328041.Finally, GCF of Fractions for 227/369, 167/889 is 1/328041.