Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/583,682/302,263/955
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 455,682,263
Greatest Common Factor of Numerators i.e. GCF of 455,682,263 is 1 .
LCM of Denominators means LCM of 583,302,955 as per the given fractions.
LCM of 583,302,955 is 168143030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,682,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 455,682,263 . The biggest common factor number is the GCF number.
So the greatest common factor 455,682,263 is 1.
Lets's calculate LCM of 583,302,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 168143030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168143030
Therefore, the GCF of Fractions 455/583,682/302,263/955 is 1/168143030
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 583,302,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,302,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,302,955) x common factors =1 x 1 = 1
LCM(583,302,955) = ( 583 × 302 × 955 ) / 1
LCM(583,302,955) = 168143030 / 1
LCM(583,302,955) = 168143030
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 455/583, 682/302, 263/955?
Answer: GCF of Numerators as per given numbers 455/583, 682/302, 263/955 is
GCF of Numerators i.e. for 455,682,263 is 1
LCM of denominators i.e. for 583,302,955 is 168143030.
Thus, GCF of Fractions is 1/168143030.Finally, GCF of Fractions for 455/583, 682/302, 263/955 is 1/168143030.