Use our free GCF of Fractions Calculator tool to compute the GCF of 9737/823, 7045/1049 i.e 1/863327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9737/823, 7045/1049.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9737/823,7045/1049
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 9737/823,7045/1049, numerators are 9737,7045
Denominators are 823,1049
The GCF of 9737,7045 is 1 .
LCM of 823,1049 is 863327.
The greatest common factor of 9737/823,7045/1049 = [GCF of 9737,7045]/[LCM of 823,1049]= 1/863327
Therefore, the GCF of 9737/823,7045/1049 is 1/863327.
To find the highest common factor of 9737,7045, we have to find the factors of both numbers and list the highest common factor.
The factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737
The factors of 7045 are 1, 5, 1409, 7045
The HCF of 9737,7045 is 1.
Lets's calculate GCF of 9737,7045
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9737
:1,7,13,91,107,749,1391,9737
Now, list down the factors of 7045
:1,5,1409,7045
Greatest Common Factor
We found the factors 9737,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 9737,7045 is 1.
Lets's calculate LCM of 823,1049
Given numbers has no common factors except 1. So, there LCM is their product i.e 863327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863327
Therefore, the GCF of Fractions 9737/823,7045/1049 is 1/863327
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 823,1049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,1049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,1049) x common factors =1 x 1 = 1
LCM(823,1049) = ( 823 × 1049 ) / 1
LCM(823,1049) = 863327 / 1
LCM(823,1049) = 863327
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9737,7045?
The HCF of 9737,7045 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 9737/823, 7045/1049?
Answer: GCF of Numerators as per given numbers 9737/823, 7045/1049 is
GCF of Numerators i.e. for 9737,7045 is 1
LCM of denominators i.e. for 823,1049 is 863327.
Thus, GCF of Fractions is 1/863327.Finally, GCF of Fractions for 9737/823, 7045/1049 is 1/863327.