Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/562,7189/651
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 615,7189
Greatest Common Factor of Numerators i.e. GCF of 615,7189 is 1 .
LCM of Denominators means LCM of 562,651 as per the given fractions.
LCM of 562,651 is 365862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 615,7189
∴ So GCF of numbers is 1 because of no common factors present between them.
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 7189
List of positive integer factors of 7189 that divides 7189 without a remainder.
1,7,13,79,91,553,1027,7189
Greatest Common Factor
We found the factors 615,7189 . The biggest common factor number is the GCF number.
So the greatest common factor 615,7189 is 1.
Lets's calculate LCM of 562,651
Given numbers has no common factors except 1. So, there LCM is their product i.e 365862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365862
Therefore, the GCF of Fractions 615/562,7189/651 is 1/365862
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 562,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,651) x common factors =1 x 1 = 1
LCM(562,651) = ( 562 × 651 ) / 1
LCM(562,651) = 365862 / 1
LCM(562,651) = 365862
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 615/562, 7189/651?
Answer: GCF of Numerators as per given numbers 615/562, 7189/651 is
GCF of Numerators i.e. for 615,7189 is 1
LCM of denominators i.e. for 562,651 is 365862.
Thus, GCF of Fractions is 1/365862.Finally, GCF of Fractions for 615/562, 7189/651 is 1/365862.