Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/57,567/8838
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 756,567
Greatest Common Factor of Numerators i.e. GCF of 756,567 is 189 .
LCM of Denominators means LCM of 57,8838 as per the given fractions.
LCM of 57,8838 is 167922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,567
3 | 756, 567 |
3 | 252, 189 |
3 | 84, 63 |
7 | 28, 21 |
4, 3 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189
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 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 756,567 . The biggest common factor number is the GCF number.
So the greatest common factor 756,567 is 189.
Lets's calculate LCM of 57,8838
3 | 57, 8838 |
19, 2946 |
∴ So the LCM of the given numbers is 3 x 19 x 2946 = 167922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 189/167922
Therefore, the GCF of Fractions 756/57,567/8838 is 189/167922
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 57,8838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,8838) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,8838) x common factors =3 x 1 = 3
LCM(57,8838) = ( 57 × 8838 ) / 3
LCM(57,8838) = 503766 / 3
LCM(57,8838) = 167922
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 756/57, 567/8838?
Answer: GCF of Numerators as per given numbers 756/57, 567/8838 is
GCF of Numerators i.e. for 756,567 is 189
LCM of denominators i.e. for 57,8838 is 167922.
Thus, GCF of Fractions is 189/167922.Finally, GCF of Fractions for 756/57, 567/8838 is 189/167922.