Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/39,4202/936
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 756,4202
Greatest Common Factor of Numerators i.e. GCF of 756,4202 is 2 .
LCM of Denominators means LCM of 39,936 as per the given fractions.
LCM of 39,936 is 936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,4202
2 | 756, 4202 |
378, 2101 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 4202
List of positive integer factors of 4202 that divides 4202 without a remainder.
1,2,11,22,191,382,2101,4202
Greatest Common Factor
We found the factors 756,4202 . The biggest common factor number is the GCF number.
So the greatest common factor 756,4202 is 2.
Lets's calculate LCM of 39,936
3 | 39, 936 |
13 | 13, 312 |
1, 24 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 24 = 936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/936
Therefore, the GCF of Fractions 756/39,4202/936 is 2/936
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 39,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,936) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(39,936) x common factors =39 x 1 = 39
LCM(39,936) = ( 39 × 936 ) / 39
LCM(39,936) = 36504 / 39
LCM(39,936) = 936
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 756/39, 4202/936?
Answer: GCF of Numerators as per given numbers 756/39, 4202/936 is
GCF of Numerators i.e. for 756,4202 is 2
LCM of denominators i.e. for 39,936 is 936.
Thus, GCF of Fractions is 2/936.Finally, GCF of Fractions for 756/39, 4202/936 is 2/936.