Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/57,945/3478
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 250,945
Greatest Common Factor of Numerators i.e. GCF of 250,945 is 5 .
LCM of Denominators means LCM of 57,3478 as per the given fractions.
LCM of 57,3478 is 198246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 250,945
5 | 250, 945 |
50, 189 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 250,945 . The biggest common factor number is the GCF number.
So the greatest common factor 250,945 is 5.
Lets's calculate LCM of 57,3478
Given numbers has no common factors except 1. So, there LCM is their product i.e 198246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/198246
Therefore, the GCF of Fractions 250/57,945/3478 is 5/198246
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 57,3478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,3478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,3478) x common factors =1 x 1 = 1
LCM(57,3478) = ( 57 × 3478 ) / 1
LCM(57,3478) = 198246 / 1
LCM(57,3478) = 198246
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 250/57, 945/3478?
Answer: GCF of Numerators as per given numbers 250/57, 945/3478 is
GCF of Numerators i.e. for 250,945 is 5
LCM of denominators i.e. for 57,3478 is 198246.
Thus, GCF of Fractions is 5/198246.Finally, GCF of Fractions for 250/57, 945/3478 is 5/198246.