Use our free GCF of Fractions Calculator tool to compute the GCF of 231/23, 316/2734 i.e 1/62882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 231/23, 316/2734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 231/23,316/2734
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 231/23,316/2734, numerators are 231,316
Denominators are 23,2734
The GCF of 231,316 is 1 .
LCM of 23,2734 is 62882.
The greatest common factor of 231/23,316/2734 = [GCF of 231,316]/[LCM of 23,2734]= 1/62882
Therefore, the GCF of 231/23,316/2734 is 1/62882.
To find the highest common factor of 231,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 231,316 is 1.
Lets's calculate GCF of 231,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 231,316 . The biggest common factor number is the GCF number.
So the greatest common factor 231,316 is 1.
Lets's calculate LCM of 23,2734
Given numbers has no common factors except 1. So, there LCM is their product i.e 62882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62882
Therefore, the GCF of Fractions 231/23,316/2734 is 1/62882
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 23,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,2734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,2734) x common factors =1 x 1 = 1
LCM(23,2734) = ( 23 × 2734 ) / 1
LCM(23,2734) = 62882 / 1
LCM(23,2734) = 62882
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 231,316?
The HCF of 231,316 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 231/23, 316/2734?
Answer: GCF of Numerators as per given numbers 231/23, 316/2734 is
GCF of Numerators i.e. for 231,316 is 1
LCM of denominators i.e. for 23,2734 is 62882.
Thus, GCF of Fractions is 1/62882.Finally, GCF of Fractions for 231/23, 316/2734 is 1/62882.