Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/79,549/18,885/362
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 615,549,885
Greatest Common Factor of Numerators i.e. GCF of 615,549,885 is 3 .
LCM of Denominators means LCM of 79,18,362 as per the given fractions.
LCM of 79,18,362 is 257382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 615,549,885
3 | 615, 549, 885 |
205, 183, 295 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 615,549,885 . The biggest common factor number is the GCF number.
So the greatest common factor 615,549,885 is 3.
Lets's calculate LCM of 79,18,362
2 | 79, 18, 362 |
79, 9, 181 |
∴ So the LCM of the given numbers is 2 x 79 x 9 x 181 = 257382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/257382
Therefore, the GCF of Fractions 615/79,549/18,885/362 is 3/257382
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 79,18,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,18,362) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,18,362) x common factors =1 x 2 = 2
LCM(79,18,362) = ( 79 × 18 × 362 ) / 2
LCM(79,18,362) = 514764 / 2
LCM(79,18,362) = 257382
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 615/79, 549/18, 885/362?
Answer: GCF of Numerators as per given numbers 615/79, 549/18, 885/362 is
GCF of Numerators i.e. for 615,549,885 is 3
LCM of denominators i.e. for 79,18,362 is 257382.
Thus, GCF of Fractions is 3/257382.Finally, GCF of Fractions for 615/79, 549/18, 885/362 is 3/257382.