Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/744,659/940,690/294
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 367,659,690
Greatest Common Factor of Numerators i.e. GCF of 367,659,690 is 1 .
LCM of Denominators means LCM of 744,940,294 as per the given fractions.
LCM of 744,940,294 is 8567160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 367,659,690
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 367,659,690 . The biggest common factor number is the GCF number.
So the greatest common factor 367,659,690 is 1.
Lets's calculate LCM of 744,940,294
2 | 744, 940, 294 |
2 | 372, 470, 147 |
3 | 186, 235, 147 |
62, 235, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 235 x 49 = 8567160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8567160
Therefore, the GCF of Fractions 367/744,659/940,690/294 is 1/8567160
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 744,940,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,940,294) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(744,940,294) x common factors =2 x 12 = 24
LCM(744,940,294) = ( 744 × 940 × 294 ) / 24
LCM(744,940,294) = 205611840 / 24
LCM(744,940,294) = 8567160
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 367/744, 659/940, 690/294?
Answer: GCF of Numerators as per given numbers 367/744, 659/940, 690/294 is
GCF of Numerators i.e. for 367,659,690 is 1
LCM of denominators i.e. for 744,940,294 is 8567160.
Thus, GCF of Fractions is 1/8567160.Finally, GCF of Fractions for 367/744, 659/940, 690/294 is 1/8567160.