Use our free GCF of Fractions Calculator tool to compute the GCF of 756/633, 336/121 i.e 84/76593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 756/633, 336/121.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/633,336/121
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 756/633,336/121, numerators are 756,336
Denominators are 633,121
The GCF of 756,336 is 84 .
LCM of 633,121 is 76593.
The greatest common factor of 756/633,336/121 = [GCF of 756,336]/[LCM of 633,121]= 84/76593
Therefore, the GCF of 756/633,336/121 is 84/76593.
To find the highest common factor of 756,336, we have to find the factors of both numbers and list the highest common factor.
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The HCF of 756,336 is 84.
Lets's calculate GCF of 756,336
2 | 756, 336 |
2 | 378, 168 |
3 | 189, 84 |
7 | 63, 28 |
9, 4 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 756,336 . The biggest common factor number is the GCF number.
So the greatest common factor 756,336 is 84.
Lets's calculate LCM of 633,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 76593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/76593
Therefore, the GCF of Fractions 756/633,336/121 is 84/76593
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 633,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,121) x common factors =1 x 1 = 1
LCM(633,121) = ( 633 × 121 ) / 1
LCM(633,121) = 76593 / 1
LCM(633,121) = 76593
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 756,336?
The HCF of 756,336 is 84
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 756/633, 336/121?
Answer: GCF of Numerators as per given numbers 756/633, 336/121 is
GCF of Numerators i.e. for 756,336 is 84
LCM of denominators i.e. for 633,121 is 76593.
Thus, GCF of Fractions is 84/76593.Finally, GCF of Fractions for 756/633, 336/121 is 84/76593.