Use our free GCF of Fractions Calculator tool to compute the GCF of 443/112, 238/253 i.e 1/28336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/112, 238/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/112,238/253
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 443/112,238/253, numerators are 443,238
Denominators are 112,253
The GCF of 443,238 is 1 .
LCM of 112,253 is 28336.
The greatest common factor of 443/112,238/253 = [GCF of 443,238]/[LCM of 112,253]= 1/28336
Therefore, the GCF of 443/112,238/253 is 1/28336.
To find the highest common factor of 443,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 443 are 1, 443
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 443,238 is 1.
Lets's calculate GCF of 443,238
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 443
:1,443
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 443,238 . The biggest common factor number is the GCF number.
So the greatest common factor 443,238 is 1.
Lets's calculate LCM of 112,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 28336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28336
Therefore, the GCF of Fractions 443/112,238/253 is 1/28336
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 112,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,253) x common factors =1 x 1 = 1
LCM(112,253) = ( 112 × 253 ) / 1
LCM(112,253) = 28336 / 1
LCM(112,253) = 28336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 443,238?
The HCF of 443,238 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 443/112, 238/253?
Answer: GCF of Numerators as per given numbers 443/112, 238/253 is
GCF of Numerators i.e. for 443,238 is 1
LCM of denominators i.e. for 112,253 is 28336.
Thus, GCF of Fractions is 1/28336.Finally, GCF of Fractions for 443/112, 238/253 is 1/28336.