Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 564/20,280/93,549/29
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 564,280,549
Greatest Common Factor of Numerators i.e. GCF of 564,280,549 is 1 .
LCM of Denominators means LCM of 20,93,29 as per the given fractions.
LCM of 20,93,29 is 53940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 564,280,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 564,280,549 . The biggest common factor number is the GCF number.
So the greatest common factor 564,280,549 is 1.
Lets's calculate LCM of 20,93,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 53940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53940
Therefore, the GCF of Fractions 564/20,280/93,549/29 is 1/53940
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 20,93,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,93,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,93,29) x common factors =1 x 1 = 1
LCM(20,93,29) = ( 20 × 93 × 29 ) / 1
LCM(20,93,29) = 53940 / 1
LCM(20,93,29) = 53940
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 564/20, 280/93, 549/29?
Answer: GCF of Numerators as per given numbers 564/20, 280/93, 549/29 is
GCF of Numerators i.e. for 564,280,549 is 1
LCM of denominators i.e. for 20,93,29 is 53940.
Thus, GCF of Fractions is 1/53940.Finally, GCF of Fractions for 564/20, 280/93, 549/29 is 1/53940.