Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9000/97,8318/404
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 9000,8318
Greatest Common Factor of Numerators i.e. GCF of 9000,8318 is 2 .
LCM of Denominators means LCM of 97,404 as per the given fractions.
LCM of 97,404 is 39188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9000,8318
2 | 9000, 8318 |
4500, 4159 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9000
List of positive integer factors of 9000 that divides 9000 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Factors of 8318
List of positive integer factors of 8318 that divides 8318 without a remainder.
1,2,4159,8318
Greatest Common Factor
We found the factors 9000,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 9000,8318 is 2.
Lets's calculate LCM of 97,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 39188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39188
Therefore, the GCF of Fractions 9000/97,8318/404 is 2/39188
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 97,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,404) x common factors =1 x 1 = 1
LCM(97,404) = ( 97 × 404 ) / 1
LCM(97,404) = 39188 / 1
LCM(97,404) = 39188
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 9000/97, 8318/404?
Answer: GCF of Numerators as per given numbers 9000/97, 8318/404 is
GCF of Numerators i.e. for 9000,8318 is 2
LCM of denominators i.e. for 97,404 is 39188.
Thus, GCF of Fractions is 2/39188.Finally, GCF of Fractions for 9000/97, 8318/404 is 2/39188.