Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/75,217/79,892/41
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 939,217,892
Greatest Common Factor of Numerators i.e. GCF of 939,217,892 is 1 .
LCM of Denominators means LCM of 75,79,41 as per the given fractions.
LCM of 75,79,41 is 242925 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,217,892
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 939,217,892 . The biggest common factor number is the GCF number.
So the greatest common factor 939,217,892 is 1.
Lets's calculate LCM of 75,79,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 242925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242925
Therefore, the GCF of Fractions 939/75,217/79,892/41 is 1/242925
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 75,79,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,79,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,79,41) x common factors =1 x 1 = 1
LCM(75,79,41) = ( 75 × 79 × 41 ) / 1
LCM(75,79,41) = 242925 / 1
LCM(75,79,41) = 242925
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 939/75, 217/79, 892/41?
Answer: GCF of Numerators as per given numbers 939/75, 217/79, 892/41 is
GCF of Numerators i.e. for 939,217,892 is 1
LCM of denominators i.e. for 75,79,41 is 242925.
Thus, GCF of Fractions is 1/242925.Finally, GCF of Fractions for 939/75, 217/79, 892/41 is 1/242925.