Use our free GCF of Fractions Calculator tool to compute the GCF of 738/809, 523/560 i.e 1/453040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/809, 523/560.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/809,523/560
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 738/809,523/560, numerators are 738,523
Denominators are 809,560
The GCF of 738,523 is 1 .
LCM of 809,560 is 453040.
The greatest common factor of 738/809,523/560 = [GCF of 738,523]/[LCM of 809,560]= 1/453040
Therefore, the GCF of 738/809,523/560 is 1/453040.
To find the highest common factor of 738,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 523 are 1, 523
The HCF of 738,523 is 1.
Lets's calculate GCF of 738,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 738,523 . The biggest common factor number is the GCF number.
So the greatest common factor 738,523 is 1.
Lets's calculate LCM of 809,560
Given numbers has no common factors except 1. So, there LCM is their product i.e 453040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453040
Therefore, the GCF of Fractions 738/809,523/560 is 1/453040
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 809,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,560) x common factors =1 x 1 = 1
LCM(809,560) = ( 809 × 560 ) / 1
LCM(809,560) = 453040 / 1
LCM(809,560) = 453040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 738,523?
The HCF of 738,523 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 738/809, 523/560?
Answer: GCF of Numerators as per given numbers 738/809, 523/560 is
GCF of Numerators i.e. for 738,523 is 1
LCM of denominators i.e. for 809,560 is 453040.
Thus, GCF of Fractions is 1/453040.Finally, GCF of Fractions for 738/809, 523/560 is 1/453040.