Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/13,569/72,811/55
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 390,569,811
Greatest Common Factor of Numerators i.e. GCF of 390,569,811 is 1 .
LCM of Denominators means LCM of 13,72,55 as per the given fractions.
LCM of 13,72,55 is 51480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,569,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 390,569,811 . The biggest common factor number is the GCF number.
So the greatest common factor 390,569,811 is 1.
Lets's calculate LCM of 13,72,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 51480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51480
Therefore, the GCF of Fractions 390/13,569/72,811/55 is 1/51480
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 13,72,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,72,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,72,55) x common factors =1 x 1 = 1
LCM(13,72,55) = ( 13 × 72 × 55 ) / 1
LCM(13,72,55) = 51480 / 1
LCM(13,72,55) = 51480
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 390/13, 569/72, 811/55?
Answer: GCF of Numerators as per given numbers 390/13, 569/72, 811/55 is
GCF of Numerators i.e. for 390,569,811 is 1
LCM of denominators i.e. for 13,72,55 is 51480.
Thus, GCF of Fractions is 1/51480.Finally, GCF of Fractions for 390/13, 569/72, 811/55 is 1/51480.