Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/80,31/17,867/609
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 90,31,867
Greatest Common Factor of Numerators i.e. GCF of 90,31,867 is 1 .
LCM of Denominators means LCM of 80,17,609 as per the given fractions.
LCM of 80,17,609 is 828240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,31,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 90,31,867 . The biggest common factor number is the GCF number.
So the greatest common factor 90,31,867 is 1.
Lets's calculate LCM of 80,17,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 828240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828240
Therefore, the GCF of Fractions 90/80,31/17,867/609 is 1/828240
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 80,17,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,17,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,17,609) x common factors =1 x 1 = 1
LCM(80,17,609) = ( 80 × 17 × 609 ) / 1
LCM(80,17,609) = 828240 / 1
LCM(80,17,609) = 828240
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 90/80, 31/17, 867/609?
Answer: GCF of Numerators as per given numbers 90/80, 31/17, 867/609 is
GCF of Numerators i.e. for 90,31,867 is 1
LCM of denominators i.e. for 80,17,609 is 828240.
Thus, GCF of Fractions is 1/828240.Finally, GCF of Fractions for 90/80, 31/17, 867/609 is 1/828240.