Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/73,469/74,726/449
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 20,469,726
Greatest Common Factor of Numerators i.e. GCF of 20,469,726 is 1 .
LCM of Denominators means LCM of 73,74,449 as per the given fractions.
LCM of 73,74,449 is 2425498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,469,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 20,469,726 . The biggest common factor number is the GCF number.
So the greatest common factor 20,469,726 is 1.
Lets's calculate LCM of 73,74,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 2425498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2425498
Therefore, the GCF of Fractions 20/73,469/74,726/449 is 1/2425498
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 73,74,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,74,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,74,449) x common factors =1 x 1 = 1
LCM(73,74,449) = ( 73 × 74 × 449 ) / 1
LCM(73,74,449) = 2425498 / 1
LCM(73,74,449) = 2425498
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 20/73, 469/74, 726/449?
Answer: GCF of Numerators as per given numbers 20/73, 469/74, 726/449 is
GCF of Numerators i.e. for 20,469,726 is 1
LCM of denominators i.e. for 73,74,449 is 2425498.
Thus, GCF of Fractions is 1/2425498.Finally, GCF of Fractions for 20/73, 469/74, 726/449 is 1/2425498.