Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/50,697/99,941/886
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 916,697,941
Greatest Common Factor of Numerators i.e. GCF of 916,697,941 is 1 .
LCM of Denominators means LCM of 50,99,886 as per the given fractions.
LCM of 50,99,886 is 2192850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 916,697,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 916,697,941 . The biggest common factor number is the GCF number.
So the greatest common factor 916,697,941 is 1.
Lets's calculate LCM of 50,99,886
2 | 50, 99, 886 |
25, 99, 443 |
∴ So the LCM of the given numbers is 2 x 25 x 99 x 443 = 2192850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2192850
Therefore, the GCF of Fractions 916/50,697/99,941/886 is 1/2192850
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 50,99,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,99,886) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,99,886) x common factors =1 x 2 = 2
LCM(50,99,886) = ( 50 × 99 × 886 ) / 2
LCM(50,99,886) = 4385700 / 2
LCM(50,99,886) = 2192850
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 916/50, 697/99, 941/886?
Answer: GCF of Numerators as per given numbers 916/50, 697/99, 941/886 is
GCF of Numerators i.e. for 916,697,941 is 1
LCM of denominators i.e. for 50,99,886 is 2192850.
Thus, GCF of Fractions is 1/2192850.Finally, GCF of Fractions for 916/50, 697/99, 941/886 is 1/2192850.