Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/318,574/171
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 36,574
Greatest Common Factor of Numerators i.e. GCF of 36,574 is 2 .
LCM of Denominators means LCM of 318,171 as per the given fractions.
LCM of 318,171 is 18126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,574
2 | 36, 574 |
18, 287 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
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 36,574 . The biggest common factor number is the GCF number.
So the greatest common factor 36,574 is 2.
Lets's calculate LCM of 318,171
3 | 318, 171 |
106, 57 |
∴ So the LCM of the given numbers is 3 x 106 x 57 = 18126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18126
Therefore, the GCF of Fractions 36/318,574/171 is 2/18126
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 318,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,171) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(318,171) x common factors =3 x 1 = 3
LCM(318,171) = ( 318 × 171 ) / 3
LCM(318,171) = 54378 / 3
LCM(318,171) = 18126
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 36/318, 574/171?
Answer: GCF of Numerators as per given numbers 36/318, 574/171 is
GCF of Numerators i.e. for 36,574 is 2
LCM of denominators i.e. for 318,171 is 18126.
Thus, GCF of Fractions is 2/18126.Finally, GCF of Fractions for 36/318, 574/171 is 2/18126.