Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 455/65,556/64,689/721
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 455,556,689
Greatest Common Factor of Numerators i.e. GCF of 455,556,689 is 1 .
LCM of Denominators means LCM of 65,64,721 as per the given fractions.
LCM of 65,64,721 is 2999360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 455,556,689
∴ 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 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors 455,556,689 . The biggest common factor number is the GCF number.
So the greatest common factor 455,556,689 is 1.
Lets's calculate LCM of 65,64,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 2999360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2999360
Therefore, the GCF of Fractions 455/65,556/64,689/721 is 1/2999360
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 65,64,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,64,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,64,721) x common factors =1 x 1 = 1
LCM(65,64,721) = ( 65 × 64 × 721 ) / 1
LCM(65,64,721) = 2999360 / 1
LCM(65,64,721) = 2999360
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, 556/64, 689/721?
Answer: GCF of Numerators as per given numbers 455/65, 556/64, 689/721 is
GCF of Numerators i.e. for 455,556,689 is 1
LCM of denominators i.e. for 65,64,721 is 2999360.
Thus, GCF of Fractions is 1/2999360.Finally, GCF of Fractions for 455/65, 556/64, 689/721 is 1/2999360.