Use our free GCF of Fractions Calculator tool to compute the GCF of 243/537, 437/961 i.e 1/516057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/537, 437/961.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 243/537,437/961
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 243/537,437/961, numerators are 243,437
Denominators are 537,961
The GCF of 243,437 is 1 .
LCM of 537,961 is 516057.
The greatest common factor of 243/537,437/961 = [GCF of 243,437]/[LCM of 537,961]= 1/516057
Therefore, the GCF of 243/537,437/961 is 1/516057.
To find the highest common factor of 243,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 437 are 1, 19, 23, 437
The HCF of 243,437 is 1.
Lets's calculate GCF of 243,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 243,437 . The biggest common factor number is the GCF number.
So the greatest common factor 243,437 is 1.
Lets's calculate LCM of 537,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 516057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516057
Therefore, the GCF of Fractions 243/537,437/961 is 1/516057
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 537,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,961) x common factors =1 x 1 = 1
LCM(537,961) = ( 537 × 961 ) / 1
LCM(537,961) = 516057 / 1
LCM(537,961) = 516057
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 243,437?
The HCF of 243,437 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 243/537, 437/961?
Answer: GCF of Numerators as per given numbers 243/537, 437/961 is
GCF of Numerators i.e. for 243,437 is 1
LCM of denominators i.e. for 537,961 is 516057.
Thus, GCF of Fractions is 1/516057.Finally, GCF of Fractions for 243/537, 437/961 is 1/516057.