Use our free GCF of Fractions Calculator tool to compute the GCF of 636/288, 765/111 i.e 3/10656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 636/288, 765/111.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 636/288,765/111
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 636/288,765/111, numerators are 636,765
Denominators are 288,111
The GCF of 636,765 is 3 .
LCM of 288,111 is 10656.
The greatest common factor of 636/288,765/111 = [GCF of 636,765]/[LCM of 288,111]= 3/10656
Therefore, the GCF of 636/288,765/111 is 3/10656.
To find the highest common factor of 636,765, we have to find the factors of both numbers and list the highest common factor.
The factors of 636 are 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
The HCF of 636,765 is 3.
Lets's calculate GCF of 636,765
3 | 636, 765 |
212, 255 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 636
:1,2,3,4,6,12,53,106,159,212,318,636
Now, list down the factors of 765
:1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 636,765 . The biggest common factor number is the GCF number.
So the greatest common factor 636,765 is 3.
Lets's calculate LCM of 288,111
3 | 288, 111 |
96, 37 |
∴ So the LCM of the given numbers is 3 x 96 x 37 = 10656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10656
Therefore, the GCF of Fractions 636/288,765/111 is 3/10656
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 288,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,111) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(288,111) x common factors =3 x 1 = 3
LCM(288,111) = ( 288 × 111 ) / 3
LCM(288,111) = 31968 / 3
LCM(288,111) = 10656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 636,765?
The HCF of 636,765 is 3
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 636/288, 765/111?
Answer: GCF of Numerators as per given numbers 636/288, 765/111 is
GCF of Numerators i.e. for 636,765 is 3
LCM of denominators i.e. for 288,111 is 10656.
Thus, GCF of Fractions is 3/10656.Finally, GCF of Fractions for 636/288, 765/111 is 3/10656.