Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4293/933,9000/4333
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 4293,9000
Greatest Common Factor of Numerators i.e. GCF of 4293,9000 is 9 .
LCM of Denominators means LCM of 933,4333 as per the given fractions.
LCM of 933,4333 is 4042689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4293,9000
3 | 4293, 9000 |
3 | 1431, 3000 |
477, 1000 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 4293
List of positive integer factors of 4293 that divides 4293 without a remainder.
1,3,9,27,53,81,159,477,1431,4293
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
Greatest Common Factor
We found the factors 4293,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 4293,9000 is 9.
Lets's calculate LCM of 933,4333
Given numbers has no common factors except 1. So, there LCM is their product i.e 4042689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4042689
Therefore, the GCF of Fractions 4293/933,9000/4333 is 9/4042689
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 933,4333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,4333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,4333) x common factors =1 x 1 = 1
LCM(933,4333) = ( 933 × 4333 ) / 1
LCM(933,4333) = 4042689 / 1
LCM(933,4333) = 4042689
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 4293/933, 9000/4333?
Answer: GCF of Numerators as per given numbers 4293/933, 9000/4333 is
GCF of Numerators i.e. for 4293,9000 is 9
LCM of denominators i.e. for 933,4333 is 4042689.
Thus, GCF of Fractions is 9/4042689.Finally, GCF of Fractions for 4293/933, 9000/4333 is 9/4042689.