Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/622,275/789,865/533
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 942,275,865
Greatest Common Factor of Numerators i.e. GCF of 942,275,865 is 1 .
LCM of Denominators means LCM of 622,789,533 as per the given fractions.
LCM of 622,789,533 is 261574014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 942,275,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 942,275,865 . The biggest common factor number is the GCF number.
So the greatest common factor 942,275,865 is 1.
Lets's calculate LCM of 622,789,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 261574014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261574014
Therefore, the GCF of Fractions 942/622,275/789,865/533 is 1/261574014
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 622,789,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,789,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,789,533) x common factors =1 x 1 = 1
LCM(622,789,533) = ( 622 × 789 × 533 ) / 1
LCM(622,789,533) = 261574014 / 1
LCM(622,789,533) = 261574014
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 942/622, 275/789, 865/533?
Answer: GCF of Numerators as per given numbers 942/622, 275/789, 865/533 is
GCF of Numerators i.e. for 942,275,865 is 1
LCM of denominators i.e. for 622,789,533 is 261574014.
Thus, GCF of Fractions is 1/261574014.Finally, GCF of Fractions for 942/622, 275/789, 865/533 is 1/261574014.