Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/312,822/764,546/241
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 16,822,546
Greatest Common Factor of Numerators i.e. GCF of 16,822,546 is 2 .
LCM of Denominators means LCM of 312,764,241 as per the given fractions.
LCM of 312,764,241 is 14361672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,822,546
2 | 16, 822, 546 |
8, 411, 273 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 16,822,546 . The biggest common factor number is the GCF number.
So the greatest common factor 16,822,546 is 2.
Lets's calculate LCM of 312,764,241
2 | 312, 764, 241 |
2 | 156, 382, 241 |
78, 191, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 78 x 191 x 241 = 14361672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14361672
Therefore, the GCF of Fractions 16/312,822/764,546/241 is 2/14361672
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 312,764,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,764,241) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(312,764,241) x common factors =1 x 4 = 4
LCM(312,764,241) = ( 312 × 764 × 241 ) / 4
LCM(312,764,241) = 57446688 / 4
LCM(312,764,241) = 14361672
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 16/312, 822/764, 546/241?
Answer: GCF of Numerators as per given numbers 16/312, 822/764, 546/241 is
GCF of Numerators i.e. for 16,822,546 is 2
LCM of denominators i.e. for 312,764,241 is 14361672.
Thus, GCF of Fractions is 2/14361672.Finally, GCF of Fractions for 16/312, 822/764, 546/241 is 2/14361672.