Use our free GCF of Fractions Calculator tool to compute the GCF of 36/401, 315/936, 799/523 i.e 1/196300728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/401, 315/936, 799/523.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/401,315/936,799/523
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 36/401,315/936,799/523, numerators are 36,315,799
Denominators are 401,936,523
The GCF of 36,315,799 is 1 .
LCM of 401,936,523 is 196300728.
The greatest common factor of 36/401,315/936,799/523 = [GCF of 36,315,799]/[LCM of 401,936,523]= 1/196300728
Therefore, the GCF of 36/401,315/936,799/523 is 1/196300728.
To find the highest common factor of 36,315,799, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 799 are 1, 17, 47, 799
The HCF of 36,315,799 is 1.
Lets's calculate GCF of 36,315,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 799
:1,17,47,799
Greatest Common Factor
We found the factors 36,315,799 . The biggest common factor number is the GCF number.
So the greatest common factor 36,315,799 is 1.
Lets's calculate LCM of 401,936,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 196300728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196300728
Therefore, the GCF of Fractions 36/401,315/936,799/523 is 1/196300728
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 401,936,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,936,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,936,523) x common factors =1 x 1 = 1
LCM(401,936,523) = ( 401 × 936 × 523 ) / 1
LCM(401,936,523) = 196300728 / 1
LCM(401,936,523) = 196300728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,315,799?
The HCF of 36,315,799 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 36/401, 315/936, 799/523?
Answer: GCF of Numerators as per given numbers 36/401, 315/936, 799/523 is
GCF of Numerators i.e. for 36,315,799 is 1
LCM of denominators i.e. for 401,936,523 is 196300728.
Thus, GCF of Fractions is 1/196300728.Finally, GCF of Fractions for 36/401, 315/936, 799/523 is 1/196300728.