Use our free GCF of Fractions Calculator tool to compute the GCF of 587/443, 378/164 i.e 1/72652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/443, 378/164.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/443,378/164
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 587/443,378/164, numerators are 587,378
Denominators are 443,164
The GCF of 587,378 is 1 .
LCM of 443,164 is 72652.
The greatest common factor of 587/443,378/164 = [GCF of 587,378]/[LCM of 443,164]= 1/72652
Therefore, the GCF of 587/443,378/164 is 1/72652.
To find the highest common factor of 587,378, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
The HCF of 587,378 is 1.
Lets's calculate GCF of 587,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 587
:1,587
Now, list down the factors of 378
:1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 587,378 . The biggest common factor number is the GCF number.
So the greatest common factor 587,378 is 1.
Lets's calculate LCM of 443,164
Given numbers has no common factors except 1. So, there LCM is their product i.e 72652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72652
Therefore, the GCF of Fractions 587/443,378/164 is 1/72652
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 443,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,164) x common factors =1 x 1 = 1
LCM(443,164) = ( 443 × 164 ) / 1
LCM(443,164) = 72652 / 1
LCM(443,164) = 72652
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 587,378?
The HCF of 587,378 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 587/443, 378/164?
Answer: GCF of Numerators as per given numbers 587/443, 378/164 is
GCF of Numerators i.e. for 587,378 is 1
LCM of denominators i.e. for 443,164 is 72652.
Thus, GCF of Fractions is 1/72652.Finally, GCF of Fractions for 587/443, 378/164 is 1/72652.