Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5075/38,5189/183
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 5075,5189
Greatest Common Factor of Numerators i.e. GCF of 5075,5189 is 1 .
LCM of Denominators means LCM of 38,183 as per the given fractions.
LCM of 38,183 is 6954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5075,5189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5075
List of positive integer factors of 5075 that divides 5075 without a remainder.
1,5,7,25,29,35,145,175,203,725,1015,5075
Factors of 5189
List of positive integer factors of 5189 that divides 5189 without a remainder.
1,5189
Greatest Common Factor
We found the factors 5075,5189 . The biggest common factor number is the GCF number.
So the greatest common factor 5075,5189 is 1.
Lets's calculate LCM of 38,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 6954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6954
Therefore, the GCF of Fractions 5075/38,5189/183 is 1/6954
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 38,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,183) x common factors =1 x 1 = 1
LCM(38,183) = ( 38 × 183 ) / 1
LCM(38,183) = 6954 / 1
LCM(38,183) = 6954
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 5075/38, 5189/183?
Answer: GCF of Numerators as per given numbers 5075/38, 5189/183 is
GCF of Numerators i.e. for 5075,5189 is 1
LCM of denominators i.e. for 38,183 is 6954.
Thus, GCF of Fractions is 1/6954.Finally, GCF of Fractions for 5075/38, 5189/183 is 1/6954.