Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/24,490/83,574/31
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 73,490,574
Greatest Common Factor of Numerators i.e. GCF of 73,490,574 is 1 .
LCM of Denominators means LCM of 24,83,31 as per the given fractions.
LCM of 24,83,31 is 61752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,490,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 73,490,574 . The biggest common factor number is the GCF number.
So the greatest common factor 73,490,574 is 1.
Lets's calculate LCM of 24,83,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 61752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61752
Therefore, the GCF of Fractions 73/24,490/83,574/31 is 1/61752
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 24,83,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,83,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,83,31) x common factors =1 x 1 = 1
LCM(24,83,31) = ( 24 × 83 × 31 ) / 1
LCM(24,83,31) = 61752 / 1
LCM(24,83,31) = 61752
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 73/24, 490/83, 574/31?
Answer: GCF of Numerators as per given numbers 73/24, 490/83, 574/31 is
GCF of Numerators i.e. for 73,490,574 is 1
LCM of denominators i.e. for 24,83,31 is 61752.
Thus, GCF of Fractions is 1/61752.Finally, GCF of Fractions for 73/24, 490/83, 574/31 is 1/61752.