Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 538/583,113/656,465/307
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 538,113,465
Greatest Common Factor of Numerators i.e. GCF of 538,113,465 is 1 .
LCM of Denominators means LCM of 583,656,307 as per the given fractions.
LCM of 583,656,307 is 117411536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 538,113,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 538,113,465 . The biggest common factor number is the GCF number.
So the greatest common factor 538,113,465 is 1.
Lets's calculate LCM of 583,656,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 117411536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117411536
Therefore, the GCF of Fractions 538/583,113/656,465/307 is 1/117411536
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 583,656,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,656,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,656,307) x common factors =1 x 1 = 1
LCM(583,656,307) = ( 583 × 656 × 307 ) / 1
LCM(583,656,307) = 117411536 / 1
LCM(583,656,307) = 117411536
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 538/583, 113/656, 465/307?
Answer: GCF of Numerators as per given numbers 538/583, 113/656, 465/307 is
GCF of Numerators i.e. for 538,113,465 is 1
LCM of denominators i.e. for 583,656,307 is 117411536.
Thus, GCF of Fractions is 1/117411536.Finally, GCF of Fractions for 538/583, 113/656, 465/307 is 1/117411536.