Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6089/786,3859/203
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 6089,3859
Greatest Common Factor of Numerators i.e. GCF of 6089,3859 is 1 .
LCM of Denominators means LCM of 786,203 as per the given fractions.
LCM of 786,203 is 159558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6089,3859
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6089
List of positive integer factors of 6089 that divides 6089 without a remainder.
1,6089
Factors of 3859
List of positive integer factors of 3859 that divides 3859 without a remainder.
1,17,227,3859
Greatest Common Factor
We found the factors 6089,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 6089,3859 is 1.
Lets's calculate LCM of 786,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 159558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159558
Therefore, the GCF of Fractions 6089/786,3859/203 is 1/159558
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 786,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,203) x common factors =1 x 1 = 1
LCM(786,203) = ( 786 × 203 ) / 1
LCM(786,203) = 159558 / 1
LCM(786,203) = 159558
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 6089/786, 3859/203?
Answer: GCF of Numerators as per given numbers 6089/786, 3859/203 is
GCF of Numerators i.e. for 6089,3859 is 1
LCM of denominators i.e. for 786,203 is 159558.
Thus, GCF of Fractions is 1/159558.Finally, GCF of Fractions for 6089/786, 3859/203 is 1/159558.