Use our free GCF of Fractions Calculator tool to compute the GCF of 729/711, 953/947 i.e 1/673317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/711, 953/947.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 729/711,953/947
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 729/711,953/947, numerators are 729,953
Denominators are 711,947
The GCF of 729,953 is 1 .
LCM of 711,947 is 673317.
The greatest common factor of 729/711,953/947 = [GCF of 729,953]/[LCM of 711,947]= 1/673317
Therefore, the GCF of 729/711,953/947 is 1/673317.
To find the highest common factor of 729,953, we have to find the factors of both numbers and list the highest common factor.
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 953 are 1, 953
The HCF of 729,953 is 1.
Lets's calculate GCF of 729,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 729,953 . The biggest common factor number is the GCF number.
So the greatest common factor 729,953 is 1.
Lets's calculate LCM of 711,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 673317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673317
Therefore, the GCF of Fractions 729/711,953/947 is 1/673317
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 711,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,947) x common factors =1 x 1 = 1
LCM(711,947) = ( 711 × 947 ) / 1
LCM(711,947) = 673317 / 1
LCM(711,947) = 673317
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 729,953?
The HCF of 729,953 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 729/711, 953/947?
Answer: GCF of Numerators as per given numbers 729/711, 953/947 is
GCF of Numerators i.e. for 729,953 is 1
LCM of denominators i.e. for 711,947 is 673317.
Thus, GCF of Fractions is 1/673317.Finally, GCF of Fractions for 729/711, 953/947 is 1/673317.