Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/956,843/994,831/208
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 49,843,831
Greatest Common Factor of Numerators i.e. GCF of 49,843,831 is 1 .
LCM of Denominators means LCM of 956,994,208 as per the given fractions.
LCM of 956,994,208 is 24706864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,843,831
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 49,843,831 . The biggest common factor number is the GCF number.
So the greatest common factor 49,843,831 is 1.
Lets's calculate LCM of 956,994,208
2 | 956, 994, 208 |
2 | 478, 497, 104 |
239, 497, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 497 x 52 = 24706864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24706864
Therefore, the GCF of Fractions 49/956,843/994,831/208 is 1/24706864
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 956,994,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,994,208) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(956,994,208) x common factors =2 x 4 = 8
LCM(956,994,208) = ( 956 × 994 × 208 ) / 8
LCM(956,994,208) = 197654912 / 8
LCM(956,994,208) = 24706864
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 49/956, 843/994, 831/208?
Answer: GCF of Numerators as per given numbers 49/956, 843/994, 831/208 is
GCF of Numerators i.e. for 49,843,831 is 1
LCM of denominators i.e. for 956,994,208 is 24706864.
Thus, GCF of Fractions is 1/24706864.Finally, GCF of Fractions for 49/956, 843/994, 831/208 is 1/24706864.