Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/505,1677/472
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 615,1677
Greatest Common Factor of Numerators i.e. GCF of 615,1677 is 3 .
LCM of Denominators means LCM of 505,472 as per the given fractions.
LCM of 505,472 is 238360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 615,1677
3 | 615, 1677 |
205, 559 |
∴ 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 1677
List of positive integer factors of 1677 that divides 1677 without a remainder.
1,3,13,39,43,129,559,1677
Greatest Common Factor
We found the factors 615,1677 . The biggest common factor number is the GCF number.
So the greatest common factor 615,1677 is 3.
Lets's calculate LCM of 505,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 238360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/238360
Therefore, the GCF of Fractions 615/505,1677/472 is 3/238360
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 505,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,472) x common factors =1 x 1 = 1
LCM(505,472) = ( 505 × 472 ) / 1
LCM(505,472) = 238360 / 1
LCM(505,472) = 238360
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 615/505, 1677/472?
Answer: GCF of Numerators as per given numbers 615/505, 1677/472 is
GCF of Numerators i.e. for 615,1677 is 3
LCM of denominators i.e. for 505,472 is 238360.
Thus, GCF of Fractions is 3/238360.Finally, GCF of Fractions for 615/505, 1677/472 is 3/238360.