Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 138/357,785/382,825/408
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 138,785,825
Greatest Common Factor of Numerators i.e. GCF of 138,785,825 is 1 .
LCM of Denominators means LCM of 357,382,408 as per the given fractions.
LCM of 357,382,408 is 545496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 138,785,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 138,785,825 . The biggest common factor number is the GCF number.
So the greatest common factor 138,785,825 is 1.
Lets's calculate LCM of 357,382,408
2 | 357, 382, 408 |
3 | 357, 191, 204 |
17 | 119, 191, 68 |
7, 191, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 191 x 4 = 545496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545496
Therefore, the GCF of Fractions 138/357,785/382,825/408 is 1/545496
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 357,382,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,382,408) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(357,382,408) x common factors =1 x 102 = 102
LCM(357,382,408) = ( 357 × 382 × 408 ) / 102
LCM(357,382,408) = 55640592 / 102
LCM(357,382,408) = 545496
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 138/357, 785/382, 825/408?
Answer: GCF of Numerators as per given numbers 138/357, 785/382, 825/408 is
GCF of Numerators i.e. for 138,785,825 is 1
LCM of denominators i.e. for 357,382,408 is 545496.
Thus, GCF of Fractions is 1/545496.Finally, GCF of Fractions for 138/357, 785/382, 825/408 is 1/545496.