Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/22,34/37,23/649
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 83,34,23
Greatest Common Factor of Numerators i.e. GCF of 83,34,23 is 1 .
LCM of Denominators means LCM of 22,37,649 as per the given fractions.
LCM of 22,37,649 is 48026 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,34,23
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Greatest Common Factor
We found the factors 83,34,23 . The biggest common factor number is the GCF number.
So the greatest common factor 83,34,23 is 1.
Lets's calculate LCM of 22,37,649
11 | 22, 37, 649 |
2, 37, 59 |
∴ So the LCM of the given numbers is 11 x 2 x 37 x 59 = 48026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48026
Therefore, the GCF of Fractions 83/22,34/37,23/649 is 1/48026
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 22,37,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,37,649) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(22,37,649) x common factors =1 x 11 = 11
LCM(22,37,649) = ( 22 × 37 × 649 ) / 11
LCM(22,37,649) = 528286 / 11
LCM(22,37,649) = 48026
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 83/22, 34/37, 23/649?
Answer: GCF of Numerators as per given numbers 83/22, 34/37, 23/649 is
GCF of Numerators i.e. for 83,34,23 is 1
LCM of denominators i.e. for 22,37,649 is 48026.
Thus, GCF of Fractions is 1/48026.Finally, GCF of Fractions for 83/22, 34/37, 23/649 is 1/48026.