Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2655/605,9489/9773
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 2655,9489
Greatest Common Factor of Numerators i.e. GCF of 2655,9489 is 3 .
LCM of Denominators means LCM of 605,9773 as per the given fractions.
LCM of 605,9773 is 5912665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2655,9489
3 | 2655, 9489 |
885, 3163 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2655
List of positive integer factors of 2655 that divides 2655 without a remainder.
1,3,5,9,15,45,59,177,295,531,885,2655
Factors of 9489
List of positive integer factors of 9489 that divides 9489 without a remainder.
1,3,3163,9489
Greatest Common Factor
We found the factors 2655,9489 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,9489 is 3.
Lets's calculate LCM of 605,9773
Given numbers has no common factors except 1. So, there LCM is their product i.e 5912665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5912665
Therefore, the GCF of Fractions 2655/605,9489/9773 is 3/5912665
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 605,9773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,9773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,9773) x common factors =1 x 1 = 1
LCM(605,9773) = ( 605 × 9773 ) / 1
LCM(605,9773) = 5912665 / 1
LCM(605,9773) = 5912665
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 2655/605, 9489/9773?
Answer: GCF of Numerators as per given numbers 2655/605, 9489/9773 is
GCF of Numerators i.e. for 2655,9489 is 3
LCM of denominators i.e. for 605,9773 is 5912665.
Thus, GCF of Fractions is 3/5912665.Finally, GCF of Fractions for 2655/605, 9489/9773 is 3/5912665.