Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/65,818/9706
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 455,818
Greatest Common Factor of Numerators i.e. GCF of 455,818 is 1 .
LCM of Denominators means LCM of 65,9706 as per the given fractions.
LCM of 65,9706 is 630890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,818
∴ 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 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 455,818 . The biggest common factor number is the GCF number.
So the greatest common factor 455,818 is 1.
Lets's calculate LCM of 65,9706
Given numbers has no common factors except 1. So, there LCM is their product i.e 630890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630890
Therefore, the GCF of Fractions 455/65,818/9706 is 1/630890
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 65,9706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,9706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,9706) x common factors =1 x 1 = 1
LCM(65,9706) = ( 65 × 9706 ) / 1
LCM(65,9706) = 630890 / 1
LCM(65,9706) = 630890
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 455/65, 818/9706?
Answer: GCF of Numerators as per given numbers 455/65, 818/9706 is
GCF of Numerators i.e. for 455,818 is 1
LCM of denominators i.e. for 65,9706 is 630890.
Thus, GCF of Fractions is 1/630890.Finally, GCF of Fractions for 455/65, 818/9706 is 1/630890.