Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 447/51,656/93,940/238
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 447,656,940
Greatest Common Factor of Numerators i.e. GCF of 447,656,940 is 1 .
LCM of Denominators means LCM of 51,93,238 as per the given fractions.
LCM of 51,93,238 is 22134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 447,656,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 447,656,940 . The biggest common factor number is the GCF number.
So the greatest common factor 447,656,940 is 1.
Lets's calculate LCM of 51,93,238
3 | 51, 93, 238 |
17 | 17, 31, 238 |
1, 31, 14 |
∴ So the LCM of the given numbers is 3 x 17 x 1 x 31 x 14 = 22134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22134
Therefore, the GCF of Fractions 447/51,656/93,940/238 is 1/22134
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 51,93,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,93,238) = 1
common factors(in case of two or more numbers have common factors) = 51
GCF(51,93,238) x common factors =1 x 51 = 51
LCM(51,93,238) = ( 51 × 93 × 238 ) / 51
LCM(51,93,238) = 1128834 / 51
LCM(51,93,238) = 22134
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 447/51, 656/93, 940/238?
Answer: GCF of Numerators as per given numbers 447/51, 656/93, 940/238 is
GCF of Numerators i.e. for 447,656,940 is 1
LCM of denominators i.e. for 51,93,238 is 22134.
Thus, GCF of Fractions is 1/22134.Finally, GCF of Fractions for 447/51, 656/93, 940/238 is 1/22134.