Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/67,785/3109
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 213,785
Greatest Common Factor of Numerators i.e. GCF of 213,785 is 1 .
LCM of Denominators means LCM of 67,3109 as per the given fractions.
LCM of 67,3109 is 208303 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 213,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 213,785 . The biggest common factor number is the GCF number.
So the greatest common factor 213,785 is 1.
Lets's calculate LCM of 67,3109
Given numbers has no common factors except 1. So, there LCM is their product i.e 208303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208303
Therefore, the GCF of Fractions 213/67,785/3109 is 1/208303
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 67,3109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,3109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,3109) x common factors =1 x 1 = 1
LCM(67,3109) = ( 67 × 3109 ) / 1
LCM(67,3109) = 208303 / 1
LCM(67,3109) = 208303
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 213/67, 785/3109?
Answer: GCF of Numerators as per given numbers 213/67, 785/3109 is
GCF of Numerators i.e. for 213,785 is 1
LCM of denominators i.e. for 67,3109 is 208303.
Thus, GCF of Fractions is 1/208303.Finally, GCF of Fractions for 213/67, 785/3109 is 1/208303.