Use our free GCF of Fractions Calculator tool to compute the GCF of 708/752, 997/399 i.e 1/300048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/752, 997/399.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/752,997/399
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 708/752,997/399, numerators are 708,997
Denominators are 752,399
The GCF of 708,997 is 1 .
LCM of 752,399 is 300048.
The greatest common factor of 708/752,997/399 = [GCF of 708,997]/[LCM of 752,399]= 1/300048
Therefore, the GCF of 708/752,997/399 is 1/300048.
To find the highest common factor of 708,997, we have to find the factors of both numbers and list the highest common factor.
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 997 are 1, 997
The HCF of 708,997 is 1.
Lets's calculate GCF of 708,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 997
:1,997
Greatest Common Factor
We found the factors 708,997 . The biggest common factor number is the GCF number.
So the greatest common factor 708,997 is 1.
Lets's calculate LCM of 752,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 300048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300048
Therefore, the GCF of Fractions 708/752,997/399 is 1/300048
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 752,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(752,399) x common factors =1 x 1 = 1
LCM(752,399) = ( 752 × 399 ) / 1
LCM(752,399) = 300048 / 1
LCM(752,399) = 300048
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 708,997?
The HCF of 708,997 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 708/752, 997/399?
Answer: GCF of Numerators as per given numbers 708/752, 997/399 is
GCF of Numerators i.e. for 708,997 is 1
LCM of denominators i.e. for 752,399 is 300048.
Thus, GCF of Fractions is 1/300048.Finally, GCF of Fractions for 708/752, 997/399 is 1/300048.