Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2433/882,4659/7631
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 2433,4659
Greatest Common Factor of Numerators i.e. GCF of 2433,4659 is 3 .
LCM of Denominators means LCM of 882,7631 as per the given fractions.
LCM of 882,7631 is 6730542 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2433,4659
3 | 2433, 4659 |
811, 1553 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2433
List of positive integer factors of 2433 that divides 2433 without a remainder.
1,3,811,2433
Factors of 4659
List of positive integer factors of 4659 that divides 4659 without a remainder.
1,3,1553,4659
Greatest Common Factor
We found the factors 2433,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 2433,4659 is 3.
Lets's calculate LCM of 882,7631
Given numbers has no common factors except 1. So, there LCM is their product i.e 6730542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6730542
Therefore, the GCF of Fractions 2433/882,4659/7631 is 3/6730542
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 882,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,7631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,7631) x common factors =1 x 1 = 1
LCM(882,7631) = ( 882 × 7631 ) / 1
LCM(882,7631) = 6730542 / 1
LCM(882,7631) = 6730542
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 2433/882, 4659/7631?
Answer: GCF of Numerators as per given numbers 2433/882, 4659/7631 is
GCF of Numerators i.e. for 2433,4659 is 3
LCM of denominators i.e. for 882,7631 is 6730542.
Thus, GCF of Fractions is 3/6730542.Finally, GCF of Fractions for 2433/882, 4659/7631 is 3/6730542.