Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/189,999/738,315/450
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 679,999,315
Greatest Common Factor of Numerators i.e. GCF of 679,999,315 is 1 .
LCM of Denominators means LCM of 189,738,450 as per the given fractions.
LCM of 189,738,450 is 387450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,999,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 679,999,315 . The biggest common factor number is the GCF number.
So the greatest common factor 679,999,315 is 1.
Lets's calculate LCM of 189,738,450
2 | 189, 738, 450 |
3 | 189, 369, 225 |
3 | 63, 123, 75 |
21, 41, 25 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 21 x 41 x 25 = 387450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387450
Therefore, the GCF of Fractions 679/189,999/738,315/450 is 1/387450
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 189,738,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,738,450) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(189,738,450) x common factors =9 x 18 = 162
LCM(189,738,450) = ( 189 × 738 × 450 ) / 162
LCM(189,738,450) = 62766900 / 162
LCM(189,738,450) = 387450
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 679/189, 999/738, 315/450?
Answer: GCF of Numerators as per given numbers 679/189, 999/738, 315/450 is
GCF of Numerators i.e. for 679,999,315 is 1
LCM of denominators i.e. for 189,738,450 is 387450.
Thus, GCF of Fractions is 1/387450.Finally, GCF of Fractions for 679/189, 999/738, 315/450 is 1/387450.