Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/41,352/40,289/127
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 439,352,289
Greatest Common Factor of Numerators i.e. GCF of 439,352,289 is 1 .
LCM of Denominators means LCM of 41,40,127 as per the given fractions.
LCM of 41,40,127 is 208280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 439,352,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 439,352,289 . The biggest common factor number is the GCF number.
So the greatest common factor 439,352,289 is 1.
Lets's calculate LCM of 41,40,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 208280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208280
Therefore, the GCF of Fractions 439/41,352/40,289/127 is 1/208280
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 41,40,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,40,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,40,127) x common factors =1 x 1 = 1
LCM(41,40,127) = ( 41 × 40 × 127 ) / 1
LCM(41,40,127) = 208280 / 1
LCM(41,40,127) = 208280
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 439/41, 352/40, 289/127?
Answer: GCF of Numerators as per given numbers 439/41, 352/40, 289/127 is
GCF of Numerators i.e. for 439,352,289 is 1
LCM of denominators i.e. for 41,40,127 is 208280.
Thus, GCF of Fractions is 1/208280.Finally, GCF of Fractions for 439/41, 352/40, 289/127 is 1/208280.