Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1800/84,8849/543
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 1800,8849
Greatest Common Factor of Numerators i.e. GCF of 1800,8849 is 1 .
LCM of Denominators means LCM of 84,543 as per the given fractions.
LCM of 84,543 is 15204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1800,8849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1800
List of positive integer factors of 1800 that divides 1800 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Factors of 8849
List of positive integer factors of 8849 that divides 8849 without a remainder.
1,8849
Greatest Common Factor
We found the factors 1800,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,8849 is 1.
Lets's calculate LCM of 84,543
3 | 84, 543 |
28, 181 |
∴ So the LCM of the given numbers is 3 x 28 x 181 = 15204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15204
Therefore, the GCF of Fractions 1800/84,8849/543 is 1/15204
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 84,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,543) x common factors =3 x 1 = 3
LCM(84,543) = ( 84 × 543 ) / 3
LCM(84,543) = 45612 / 3
LCM(84,543) = 15204
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 1800/84, 8849/543?
Answer: GCF of Numerators as per given numbers 1800/84, 8849/543 is
GCF of Numerators i.e. for 1800,8849 is 1
LCM of denominators i.e. for 84,543 is 15204.
Thus, GCF of Fractions is 1/15204.Finally, GCF of Fractions for 1800/84, 8849/543 is 1/15204.