Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/67,246/6696
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 444,246
Greatest Common Factor of Numerators i.e. GCF of 444,246 is 6 .
LCM of Denominators means LCM of 67,6696 as per the given fractions.
LCM of 67,6696 is 448632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 444,246
2 | 444, 246 |
3 | 222, 123 |
74, 41 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 444,246 . The biggest common factor number is the GCF number.
So the greatest common factor 444,246 is 6.
Lets's calculate LCM of 67,6696
Given numbers has no common factors except 1. So, there LCM is their product i.e 448632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/448632
Therefore, the GCF of Fractions 444/67,246/6696 is 6/448632
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 67,6696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,6696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,6696) x common factors =1 x 1 = 1
LCM(67,6696) = ( 67 × 6696 ) / 1
LCM(67,6696) = 448632 / 1
LCM(67,6696) = 448632
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 444/67, 246/6696?
Answer: GCF of Numerators as per given numbers 444/67, 246/6696 is
GCF of Numerators i.e. for 444,246 is 6
LCM of denominators i.e. for 67,6696 is 448632.
Thus, GCF of Fractions is 6/448632.Finally, GCF of Fractions for 444/67, 246/6696 is 6/448632.