Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/41,47/81,18/81,800/49
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 25,47,18,800
Greatest Common Factor of Numerators i.e. GCF of 25,47,18,800 is 1 .
LCM of Denominators means LCM of 41,81,81,49 as per the given fractions.
LCM of 41,81,81,49 is 162729 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 25,47,18,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 25,47,18,800 . The biggest common factor number is the GCF number.
So the greatest common factor 25,47,18,800 is 1.
Lets's calculate LCM of 41,81,81,49
3 | 41, 81, 81, 49 |
3 | 41, 27, 27, 49 |
3 | 41, 9, 9, 49 |
3 | 41, 3, 3, 49 |
41, 1, 1, 49 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 41 x 1 x 1 x 49 = 162729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162729
Therefore, the GCF of Fractions 25/41,47/81,18/81,800/49 is 1/162729
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 41,81,81,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,81,81,49) = 1
common factors(in case of two or more numbers have common factors) = 81
GCF(41,81,81,49) x common factors =1 x 81 = 81
LCM(41,81,81,49) = ( 41 × 81 × 81 × 49 ) / 81
LCM(41,81,81,49) = 13181049 / 81
LCM(41,81,81,49) = 162729
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 25/41, 47/81, 18/81, 800/49?
Answer: GCF of Numerators as per given numbers 25/41, 47/81, 18/81, 800/49 is
GCF of Numerators i.e. for 25,47,18,800 is 1
LCM of denominators i.e. for 41,81,81,49 is 162729.
Thus, GCF of Fractions is 1/162729.Finally, GCF of Fractions for 25/41, 47/81, 18/81, 800/49 is 1/162729.