Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/28,27/90,38/21,809/97
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 13,27,38,809
Greatest Common Factor of Numerators i.e. GCF of 13,27,38,809 is 1 .
LCM of Denominators means LCM of 28,90,21,97 as per the given fractions.
LCM of 28,90,21,97 is 122220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,27,38,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 13,27,38,809 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,38,809 is 1.
Lets's calculate LCM of 28,90,21,97
2 | 28, 90, 21, 97 |
3 | 14, 45, 21, 97 |
7 | 14, 15, 7, 97 |
2, 15, 1, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 15 x 1 x 97 = 122220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122220
Therefore, the GCF of Fractions 13/28,27/90,38/21,809/97 is 1/122220
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 28,90,21,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,90,21,97) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(28,90,21,97) x common factors =1 x 42 = 42
LCM(28,90,21,97) = ( 28 × 90 × 21 × 97 ) / 42
LCM(28,90,21,97) = 5133240 / 42
LCM(28,90,21,97) = 122220
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 13/28, 27/90, 38/21, 809/97?
Answer: GCF of Numerators as per given numbers 13/28, 27/90, 38/21, 809/97 is
GCF of Numerators i.e. for 13,27,38,809 is 1
LCM of denominators i.e. for 28,90,21,97 is 122220.
Thus, GCF of Fractions is 1/122220.Finally, GCF of Fractions for 13/28, 27/90, 38/21, 809/97 is 1/122220.