Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/107,868/222,490/649
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 17,868,490
Greatest Common Factor of Numerators i.e. GCF of 17,868,490 is 1 .
LCM of Denominators means LCM of 107,222,649 as per the given fractions.
LCM of 107,222,649 is 15416346 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 17,868,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 17,868,490 . The biggest common factor number is the GCF number.
So the greatest common factor 17,868,490 is 1.
Lets's calculate LCM of 107,222,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 15416346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15416346
Therefore, the GCF of Fractions 17/107,868/222,490/649 is 1/15416346
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 107,222,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,222,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,222,649) x common factors =1 x 1 = 1
LCM(107,222,649) = ( 107 × 222 × 649 ) / 1
LCM(107,222,649) = 15416346 / 1
LCM(107,222,649) = 15416346
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 17/107, 868/222, 490/649?
Answer: GCF of Numerators as per given numbers 17/107, 868/222, 490/649 is
GCF of Numerators i.e. for 17,868,490 is 1
LCM of denominators i.e. for 107,222,649 is 15416346.
Thus, GCF of Fractions is 1/15416346.Finally, GCF of Fractions for 17/107, 868/222, 490/649 is 1/15416346.