Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 617/323,8659/654
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 617,8659
Greatest Common Factor of Numerators i.e. GCF of 617,8659 is 1 .
LCM of Denominators means LCM of 323,654 as per the given fractions.
LCM of 323,654 is 211242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 617,8659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 8659
List of positive integer factors of 8659 that divides 8659 without a remainder.
1,7,1237,8659
Greatest Common Factor
We found the factors 617,8659 . The biggest common factor number is the GCF number.
So the greatest common factor 617,8659 is 1.
Lets's calculate LCM of 323,654
Given numbers has no common factors except 1. So, there LCM is their product i.e 211242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211242
Therefore, the GCF of Fractions 617/323,8659/654 is 1/211242
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 323,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,654) x common factors =1 x 1 = 1
LCM(323,654) = ( 323 × 654 ) / 1
LCM(323,654) = 211242 / 1
LCM(323,654) = 211242
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 617/323, 8659/654?
Answer: GCF of Numerators as per given numbers 617/323, 8659/654 is
GCF of Numerators i.e. for 617,8659 is 1
LCM of denominators i.e. for 323,654 is 211242.
Thus, GCF of Fractions is 1/211242.Finally, GCF of Fractions for 617/323, 8659/654 is 1/211242.