Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/17,950/41,507/72
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 299,950,507
Greatest Common Factor of Numerators i.e. GCF of 299,950,507 is 1 .
LCM of Denominators means LCM of 17,41,72 as per the given fractions.
LCM of 17,41,72 is 50184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,950,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 299,950,507 . The biggest common factor number is the GCF number.
So the greatest common factor 299,950,507 is 1.
Lets's calculate LCM of 17,41,72
Given numbers has no common factors except 1. So, there LCM is their product i.e 50184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50184
Therefore, the GCF of Fractions 299/17,950/41,507/72 is 1/50184
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 17,41,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,41,72) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,41,72) x common factors =1 x 1 = 1
LCM(17,41,72) = ( 17 × 41 × 72 ) / 1
LCM(17,41,72) = 50184 / 1
LCM(17,41,72) = 50184
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 299/17, 950/41, 507/72?
Answer: GCF of Numerators as per given numbers 299/17, 950/41, 507/72 is
GCF of Numerators i.e. for 299,950,507 is 1
LCM of denominators i.e. for 17,41,72 is 50184.
Thus, GCF of Fractions is 1/50184.Finally, GCF of Fractions for 299/17, 950/41, 507/72 is 1/50184.