Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/332,649/313,582/821
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 867,649,582
Greatest Common Factor of Numerators i.e. GCF of 867,649,582 is 1 .
LCM of Denominators means LCM of 332,313,821 as per the given fractions.
LCM of 332,313,821 is 85315036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 867,649,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 867,649,582 . The biggest common factor number is the GCF number.
So the greatest common factor 867,649,582 is 1.
Lets's calculate LCM of 332,313,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 85315036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85315036
Therefore, the GCF of Fractions 867/332,649/313,582/821 is 1/85315036
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 332,313,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,313,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,313,821) x common factors =1 x 1 = 1
LCM(332,313,821) = ( 332 × 313 × 821 ) / 1
LCM(332,313,821) = 85315036 / 1
LCM(332,313,821) = 85315036
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 867/332, 649/313, 582/821?
Answer: GCF of Numerators as per given numbers 867/332, 649/313, 582/821 is
GCF of Numerators i.e. for 867,649,582 is 1
LCM of denominators i.e. for 332,313,821 is 85315036.
Thus, GCF of Fractions is 1/85315036.Finally, GCF of Fractions for 867/332, 649/313, 582/821 is 1/85315036.