Use our free GCF of Fractions Calculator tool to compute the GCF of 887/439, 393/456 i.e 1/200184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/439, 393/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 887/439,393/456
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 887/439,393/456, numerators are 887,393
Denominators are 439,456
The GCF of 887,393 is 1 .
LCM of 439,456 is 200184.
The greatest common factor of 887/439,393/456 = [GCF of 887,393]/[LCM of 439,456]= 1/200184
Therefore, the GCF of 887/439,393/456 is 1/200184.
To find the highest common factor of 887,393, we have to find the factors of both numbers and list the highest common factor.
The factors of 887 are 1, 887
The factors of 393 are 1, 3, 131, 393
The HCF of 887,393 is 1.
Lets's calculate GCF of 887,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 887
:1,887
Now, list down the factors of 393
:1,3,131,393
Greatest Common Factor
We found the factors 887,393 . The biggest common factor number is the GCF number.
So the greatest common factor 887,393 is 1.
Lets's calculate LCM of 439,456
Given numbers has no common factors except 1. So, there LCM is their product i.e 200184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200184
Therefore, the GCF of Fractions 887/439,393/456 is 1/200184
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 439,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,456) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,456) x common factors =1 x 1 = 1
LCM(439,456) = ( 439 × 456 ) / 1
LCM(439,456) = 200184 / 1
LCM(439,456) = 200184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 887,393?
The HCF of 887,393 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 887/439, 393/456?
Answer: GCF of Numerators as per given numbers 887/439, 393/456 is
GCF of Numerators i.e. for 887,393 is 1
LCM of denominators i.e. for 439,456 is 200184.
Thus, GCF of Fractions is 1/200184.Finally, GCF of Fractions for 887/439, 393/456 is 1/200184.