Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2697/342,2756/2205
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 2697,2756
Greatest Common Factor of Numerators i.e. GCF of 2697,2756 is 1 .
LCM of Denominators means LCM of 342,2205 as per the given fractions.
LCM of 342,2205 is 83790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2697,2756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2697
List of positive integer factors of 2697 that divides 2697 without a remainder.
1,3,29,31,87,93,899,2697
Factors of 2756
List of positive integer factors of 2756 that divides 2756 without a remainder.
1,2,4,13,26,52,53,106,212,689,1378,2756
Greatest Common Factor
We found the factors 2697,2756 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,2756 is 1.
Lets's calculate LCM of 342,2205
3 | 342, 2205 |
3 | 114, 735 |
38, 245 |
∴ So the LCM of the given numbers is 3 x 3 x 38 x 245 = 83790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83790
Therefore, the GCF of Fractions 2697/342,2756/2205 is 1/83790
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 342,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,2205) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(342,2205) x common factors =9 x 1 = 9
LCM(342,2205) = ( 342 × 2205 ) / 9
LCM(342,2205) = 754110 / 9
LCM(342,2205) = 83790
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 2697/342, 2756/2205?
Answer: GCF of Numerators as per given numbers 2697/342, 2756/2205 is
GCF of Numerators i.e. for 2697,2756 is 1
LCM of denominators i.e. for 342,2205 is 83790.
Thus, GCF of Fractions is 1/83790.Finally, GCF of Fractions for 2697/342, 2756/2205 is 1/83790.