Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/43,581/21,909/172
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 40,581,909
Greatest Common Factor of Numerators i.e. GCF of 40,581,909 is 1 .
LCM of Denominators means LCM of 43,21,172 as per the given fractions.
LCM of 43,21,172 is 3612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,581,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Greatest Common Factor
We found the factors 40,581,909 . The biggest common factor number is the GCF number.
So the greatest common factor 40,581,909 is 1.
Lets's calculate LCM of 43,21,172
43 | 43, 21, 172 |
1, 21, 4 |
∴ So the LCM of the given numbers is 43 x 1 x 21 x 4 = 3612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3612
Therefore, the GCF of Fractions 40/43,581/21,909/172 is 1/3612
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 43,21,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,21,172) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(43,21,172) x common factors =1 x 43 = 43
LCM(43,21,172) = ( 43 × 21 × 172 ) / 43
LCM(43,21,172) = 155316 / 43
LCM(43,21,172) = 3612
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 40/43, 581/21, 909/172?
Answer: GCF of Numerators as per given numbers 40/43, 581/21, 909/172 is
GCF of Numerators i.e. for 40,581,909 is 1
LCM of denominators i.e. for 43,21,172 is 3612.
Thus, GCF of Fractions is 1/3612.Finally, GCF of Fractions for 40/43, 581/21, 909/172 is 1/3612.