Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/682,5740/454
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 347,5740
Greatest Common Factor of Numerators i.e. GCF of 347,5740 is 1 .
LCM of Denominators means LCM of 682,454 as per the given fractions.
LCM of 682,454 is 154814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 347,5740
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 5740
List of positive integer factors of 5740 that divides 5740 without a remainder.
1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740
Greatest Common Factor
We found the factors 347,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 347,5740 is 1.
Lets's calculate LCM of 682,454
2 | 682, 454 |
341, 227 |
∴ So the LCM of the given numbers is 2 x 341 x 227 = 154814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154814
Therefore, the GCF of Fractions 347/682,5740/454 is 1/154814
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 682,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,454) x common factors =2 x 1 = 2
LCM(682,454) = ( 682 × 454 ) / 2
LCM(682,454) = 309628 / 2
LCM(682,454) = 154814
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 347/682, 5740/454?
Answer: GCF of Numerators as per given numbers 347/682, 5740/454 is
GCF of Numerators i.e. for 347,5740 is 1
LCM of denominators i.e. for 682,454 is 154814.
Thus, GCF of Fractions is 1/154814.Finally, GCF of Fractions for 347/682, 5740/454 is 1/154814.