Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/121,989/659,866/593
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 953,989,866
Greatest Common Factor of Numerators i.e. GCF of 953,989,866 is 1 .
LCM of Denominators means LCM of 121,659,593 as per the given fractions.
LCM of 121,659,593 is 47285227 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 953,989,866
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 953,989,866 . The biggest common factor number is the GCF number.
So the greatest common factor 953,989,866 is 1.
Lets's calculate LCM of 121,659,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 47285227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47285227
Therefore, the GCF of Fractions 953/121,989/659,866/593 is 1/47285227
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 121,659,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,659,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,659,593) x common factors =1 x 1 = 1
LCM(121,659,593) = ( 121 × 659 × 593 ) / 1
LCM(121,659,593) = 47285227 / 1
LCM(121,659,593) = 47285227
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 953/121, 989/659, 866/593?
Answer: GCF of Numerators as per given numbers 953/121, 989/659, 866/593 is
GCF of Numerators i.e. for 953,989,866 is 1
LCM of denominators i.e. for 121,659,593 is 47285227.
Thus, GCF of Fractions is 1/47285227.Finally, GCF of Fractions for 953/121, 989/659, 866/593 is 1/47285227.