Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 783/137,197/609
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 783,197
Greatest Common Factor of Numerators i.e. GCF of 783,197 is 1 .
LCM of Denominators means LCM of 137,609 as per the given fractions.
LCM of 137,609 is 83433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 783,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1,3,9,27,29,87,261,783
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 783,197 . The biggest common factor number is the GCF number.
So the greatest common factor 783,197 is 1.
Lets's calculate LCM of 137,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 83433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83433
Therefore, the GCF of Fractions 783/137,197/609 is 1/83433
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 137,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,609) x common factors =1 x 1 = 1
LCM(137,609) = ( 137 × 609 ) / 1
LCM(137,609) = 83433 / 1
LCM(137,609) = 83433
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 783/137, 197/609?
Answer: GCF of Numerators as per given numbers 783/137, 197/609 is
GCF of Numerators i.e. for 783,197 is 1
LCM of denominators i.e. for 137,609 is 83433.
Thus, GCF of Fractions is 1/83433.Finally, GCF of Fractions for 783/137, 197/609 is 1/83433.