Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4245/43,8919/978
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 4245,8919
Greatest Common Factor of Numerators i.e. GCF of 4245,8919 is 3 .
LCM of Denominators means LCM of 43,978 as per the given fractions.
LCM of 43,978 is 42054 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4245,8919
3 | 4245, 8919 |
1415, 2973 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4245
List of positive integer factors of 4245 that divides 4245 without a remainder.
1,3,5,15,283,849,1415,4245
Factors of 8919
List of positive integer factors of 8919 that divides 8919 without a remainder.
1,3,9,991,2973,8919
Greatest Common Factor
We found the factors 4245,8919 . The biggest common factor number is the GCF number.
So the greatest common factor 4245,8919 is 3.
Lets's calculate LCM of 43,978
Given numbers has no common factors except 1. So, there LCM is their product i.e 42054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42054
Therefore, the GCF of Fractions 4245/43,8919/978 is 3/42054
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 43,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,978) x common factors =1 x 1 = 1
LCM(43,978) = ( 43 × 978 ) / 1
LCM(43,978) = 42054 / 1
LCM(43,978) = 42054
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 4245/43, 8919/978?
Answer: GCF of Numerators as per given numbers 4245/43, 8919/978 is
GCF of Numerators i.e. for 4245,8919 is 3
LCM of denominators i.e. for 43,978 is 42054.
Thus, GCF of Fractions is 3/42054.Finally, GCF of Fractions for 4245/43, 8919/978 is 3/42054.