Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6555/216,4503/634
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 6555,4503
Greatest Common Factor of Numerators i.e. GCF of 6555,4503 is 57 .
LCM of Denominators means LCM of 216,634 as per the given fractions.
LCM of 216,634 is 68472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6555,4503
3 | 6555, 4503 |
19 | 2185, 1501 |
115, 79 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Factors of 6555
List of positive integer factors of 6555 that divides 6555 without a remainder.
1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Factors of 4503
List of positive integer factors of 4503 that divides 4503 without a remainder.
1,3,19,57,79,237,1501,4503
Greatest Common Factor
We found the factors 6555,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,4503 is 57.
Lets's calculate LCM of 216,634
2 | 216, 634 |
108, 317 |
∴ So the LCM of the given numbers is 2 x 108 x 317 = 68472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/68472
Therefore, the GCF of Fractions 6555/216,4503/634 is 57/68472
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 216,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(216,634) x common factors =2 x 1 = 2
LCM(216,634) = ( 216 × 634 ) / 2
LCM(216,634) = 136944 / 2
LCM(216,634) = 68472
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 6555/216, 4503/634?
Answer: GCF of Numerators as per given numbers 6555/216, 4503/634 is
GCF of Numerators i.e. for 6555,4503 is 57
LCM of denominators i.e. for 216,634 is 68472.
Thus, GCF of Fractions is 57/68472.Finally, GCF of Fractions for 6555/216, 4503/634 is 57/68472.