Use our free GCF of Fractions Calculator tool to compute the GCF of 253/443, 506/243 i.e 253/107649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 253/443, 506/243.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 253/443,506/243
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 253/443,506/243, numerators are 253,506
Denominators are 443,243
The GCF of 253,506 is 253 .
LCM of 443,243 is 107649.
The greatest common factor of 253/443,506/243 = [GCF of 253,506]/[LCM of 443,243]= 253/107649
Therefore, the GCF of 253/443,506/243 is 253/107649.
To find the highest common factor of 253,506, we have to find the factors of both numbers and list the highest common factor.
The factors of 253 are 1, 11, 23, 253
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 253,506 is 253.
Lets's calculate GCF of 253,506
11 | 253, 506 |
23 | 23, 46 |
1, 2 |
∴ So the GCF of the given numbers is 11 x 23 = 253
Now, list down the factors of 253
:1,11,23,253
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 253,506 . The biggest common factor number is the GCF number.
So the greatest common factor 253,506 is 253.
Lets's calculate LCM of 443,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 107649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 253/107649
Therefore, the GCF of Fractions 253/443,506/243 is 253/107649
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 443,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,243) x common factors =1 x 1 = 1
LCM(443,243) = ( 443 × 243 ) / 1
LCM(443,243) = 107649 / 1
LCM(443,243) = 107649
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 253,506?
The HCF of 253,506 is 253
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 253/443, 506/243?
Answer: GCF of Numerators as per given numbers 253/443, 506/243 is
GCF of Numerators i.e. for 253,506 is 253
LCM of denominators i.e. for 443,243 is 107649.
Thus, GCF of Fractions is 253/107649.Finally, GCF of Fractions for 253/443, 506/243 is 253/107649.