Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/26,85/94,585/446
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 40,85,585
Greatest Common Factor of Numerators i.e. GCF of 40,85,585 is 5 .
LCM of Denominators means LCM of 26,94,446 as per the given fractions.
LCM of 26,94,446 is 272506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,85,585
5 | 40, 85, 585 |
8, 17, 117 |
∴ So the GCF of the given numbers is 5 = 5
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 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 40,85,585 . The biggest common factor number is the GCF number.
So the greatest common factor 40,85,585 is 5.
Lets's calculate LCM of 26,94,446
2 | 26, 94, 446 |
13, 47, 223 |
∴ So the LCM of the given numbers is 2 x 13 x 47 x 223 = 272506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/272506
Therefore, the GCF of Fractions 40/26,85/94,585/446 is 5/272506
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 26,94,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,94,446) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,94,446) x common factors =2 x 2 = 4
LCM(26,94,446) = ( 26 × 94 × 446 ) / 4
LCM(26,94,446) = 1090024 / 4
LCM(26,94,446) = 272506
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 40/26, 85/94, 585/446?
Answer: GCF of Numerators as per given numbers 40/26, 85/94, 585/446 is
GCF of Numerators i.e. for 40,85,585 is 5
LCM of denominators i.e. for 26,94,446 is 272506.
Thus, GCF of Fractions is 5/272506.Finally, GCF of Fractions for 40/26, 85/94, 585/446 is 5/272506.