Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8367/757,1693/158
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 8367,1693
Greatest Common Factor of Numerators i.e. GCF of 8367,1693 is 1 .
LCM of Denominators means LCM of 757,158 as per the given fractions.
LCM of 757,158 is 119606 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8367,1693
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8367
List of positive integer factors of 8367 that divides 8367 without a remainder.
1,3,2789,8367
Factors of 1693
List of positive integer factors of 1693 that divides 1693 without a remainder.
1,1693
Greatest Common Factor
We found the factors 8367,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 8367,1693 is 1.
Lets's calculate LCM of 757,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 119606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119606
Therefore, the GCF of Fractions 8367/757,1693/158 is 1/119606
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 757,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,158) x common factors =1 x 1 = 1
LCM(757,158) = ( 757 × 158 ) / 1
LCM(757,158) = 119606 / 1
LCM(757,158) = 119606
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 8367/757, 1693/158?
Answer: GCF of Numerators as per given numbers 8367/757, 1693/158 is
GCF of Numerators i.e. for 8367,1693 is 1
LCM of denominators i.e. for 757,158 is 119606.
Thus, GCF of Fractions is 1/119606.Finally, GCF of Fractions for 8367/757, 1693/158 is 1/119606.