Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6756/54,9726/155
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 6756,9726
Greatest Common Factor of Numerators i.e. GCF of 6756,9726 is 6 .
LCM of Denominators means LCM of 54,155 as per the given fractions.
LCM of 54,155 is 8370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6756,9726
2 | 6756, 9726 |
3 | 3378, 4863 |
1126, 1621 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 6756
List of positive integer factors of 6756 that divides 6756 without a remainder.
1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Factors of 9726
List of positive integer factors of 9726 that divides 9726 without a remainder.
1,2,3,6,1621,3242,4863,9726
Greatest Common Factor
We found the factors 6756,9726 . The biggest common factor number is the GCF number.
So the greatest common factor 6756,9726 is 6.
Lets's calculate LCM of 54,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 8370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8370
Therefore, the GCF of Fractions 6756/54,9726/155 is 6/8370
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 54,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,155) x common factors =1 x 1 = 1
LCM(54,155) = ( 54 × 155 ) / 1
LCM(54,155) = 8370 / 1
LCM(54,155) = 8370
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 6756/54, 9726/155?
Answer: GCF of Numerators as per given numbers 6756/54, 9726/155 is
GCF of Numerators i.e. for 6756,9726 is 6
LCM of denominators i.e. for 54,155 is 8370.
Thus, GCF of Fractions is 6/8370.Finally, GCF of Fractions for 6756/54, 9726/155 is 6/8370.