Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/709,89/853,69/150
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 9,89,69
Greatest Common Factor of Numerators i.e. GCF of 9,89,69 is 1 .
LCM of Denominators means LCM of 709,853,150 as per the given fractions.
LCM of 709,853,150 is 90716550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,89,69
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Greatest Common Factor
We found the factors 9,89,69 . The biggest common factor number is the GCF number.
So the greatest common factor 9,89,69 is 1.
Lets's calculate LCM of 709,853,150
Given numbers has no common factors except 1. So, there LCM is their product i.e 90716550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90716550
Therefore, the GCF of Fractions 9/709,89/853,69/150 is 1/90716550
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 709,853,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,853,150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,853,150) x common factors =1 x 1 = 1
LCM(709,853,150) = ( 709 × 853 × 150 ) / 1
LCM(709,853,150) = 90716550 / 1
LCM(709,853,150) = 90716550
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 9/709, 89/853, 69/150?
Answer: GCF of Numerators as per given numbers 9/709, 89/853, 69/150 is
GCF of Numerators i.e. for 9,89,69 is 1
LCM of denominators i.e. for 709,853,150 is 90716550.
Thus, GCF of Fractions is 1/90716550.Finally, GCF of Fractions for 9/709, 89/853, 69/150 is 1/90716550.