Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3183/97,5719/207
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 3183,5719
Greatest Common Factor of Numerators i.e. GCF of 3183,5719 is 1 .
LCM of Denominators means LCM of 97,207 as per the given fractions.
LCM of 97,207 is 20079 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3183,5719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3183
List of positive integer factors of 3183 that divides 3183 without a remainder.
1,3,1061,3183
Factors of 5719
List of positive integer factors of 5719 that divides 5719 without a remainder.
1,7,19,43,133,301,817,5719
Greatest Common Factor
We found the factors 3183,5719 . The biggest common factor number is the GCF number.
So the greatest common factor 3183,5719 is 1.
Lets's calculate LCM of 97,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 20079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20079
Therefore, the GCF of Fractions 3183/97,5719/207 is 1/20079
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 97,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,207) x common factors =1 x 1 = 1
LCM(97,207) = ( 97 × 207 ) / 1
LCM(97,207) = 20079 / 1
LCM(97,207) = 20079
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 3183/97, 5719/207?
Answer: GCF of Numerators as per given numbers 3183/97, 5719/207 is
GCF of Numerators i.e. for 3183,5719 is 1
LCM of denominators i.e. for 97,207 is 20079.
Thus, GCF of Fractions is 1/20079.Finally, GCF of Fractions for 3183/97, 5719/207 is 1/20079.