Use our free GCF of Fractions Calculator tool to compute the GCF of 36/636, 8365/8199 i.e 1/1738188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/636, 8365/8199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/636,8365/8199
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 36/636,8365/8199, numerators are 36,8365
Denominators are 636,8199
The GCF of 36,8365 is 1 .
LCM of 636,8199 is 1738188.
The greatest common factor of 36/636,8365/8199 = [GCF of 36,8365]/[LCM of 636,8199]= 1/1738188
Therefore, the GCF of 36/636,8365/8199 is 1/1738188.
To find the highest common factor of 36,8365, 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 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The HCF of 36,8365 is 1.
Lets's calculate GCF of 36,8365
∴ 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 8365
:1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors 36,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8365 is 1.
Lets's calculate LCM of 636,8199
3 | 636, 8199 |
212, 2733 |
∴ So the LCM of the given numbers is 3 x 212 x 2733 = 1738188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1738188
Therefore, the GCF of Fractions 36/636,8365/8199 is 1/1738188
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 636,8199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,8199) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(636,8199) x common factors =3 x 1 = 3
LCM(636,8199) = ( 636 × 8199 ) / 3
LCM(636,8199) = 5214564 / 3
LCM(636,8199) = 1738188
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 36,8365?
The HCF of 36,8365 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 36/636, 8365/8199?
Answer: GCF of Numerators as per given numbers 36/636, 8365/8199 is
GCF of Numerators i.e. for 36,8365 is 1
LCM of denominators i.e. for 636,8199 is 1738188.
Thus, GCF of Fractions is 1/1738188.Finally, GCF of Fractions for 36/636, 8365/8199 is 1/1738188.