Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 667/41,590/16,789/951
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 667,590,789
Greatest Common Factor of Numerators i.e. GCF of 667,590,789 is 1 .
LCM of Denominators means LCM of 41,16,951 as per the given fractions.
LCM of 41,16,951 is 623856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 667,590,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 667,590,789 . The biggest common factor number is the GCF number.
So the greatest common factor 667,590,789 is 1.
Lets's calculate LCM of 41,16,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 623856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623856
Therefore, the GCF of Fractions 667/41,590/16,789/951 is 1/623856
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 41,16,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,16,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,16,951) x common factors =1 x 1 = 1
LCM(41,16,951) = ( 41 × 16 × 951 ) / 1
LCM(41,16,951) = 623856 / 1
LCM(41,16,951) = 623856
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 667/41, 590/16, 789/951?
Answer: GCF of Numerators as per given numbers 667/41, 590/16, 789/951 is
GCF of Numerators i.e. for 667,590,789 is 1
LCM of denominators i.e. for 41,16,951 is 623856.
Thus, GCF of Fractions is 1/623856.Finally, GCF of Fractions for 667/41, 590/16, 789/951 is 1/623856.