Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 557/39,283/51,445/331
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 557,283,445
Greatest Common Factor of Numerators i.e. GCF of 557,283,445 is 1 .
LCM of Denominators means LCM of 39,51,331 as per the given fractions.
LCM of 39,51,331 is 219453 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 557,283,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 557,283,445 . The biggest common factor number is the GCF number.
So the greatest common factor 557,283,445 is 1.
Lets's calculate LCM of 39,51,331
3 | 39, 51, 331 |
13, 17, 331 |
∴ So the LCM of the given numbers is 3 x 13 x 17 x 331 = 219453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219453
Therefore, the GCF of Fractions 557/39,283/51,445/331 is 1/219453
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 39,51,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,51,331) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,51,331) x common factors =1 x 3 = 3
LCM(39,51,331) = ( 39 × 51 × 331 ) / 3
LCM(39,51,331) = 658359 / 3
LCM(39,51,331) = 219453
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 557/39, 283/51, 445/331?
Answer: GCF of Numerators as per given numbers 557/39, 283/51, 445/331 is
GCF of Numerators i.e. for 557,283,445 is 1
LCM of denominators i.e. for 39,51,331 is 219453.
Thus, GCF of Fractions is 1/219453.Finally, GCF of Fractions for 557/39, 283/51, 445/331 is 1/219453.