Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/59,18/13,83/938,801/405
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 2,18,83,801
Greatest Common Factor of Numerators i.e. GCF of 2,18,83,801 is 1 .
LCM of Denominators means LCM of 59,13,938,405 as per the given fractions.
LCM of 59,13,938,405 is 291375630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,18,83,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 2,18,83,801 . The biggest common factor number is the GCF number.
So the greatest common factor 2,18,83,801 is 1.
Lets's calculate LCM of 59,13,938,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 291375630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291375630
Therefore, the GCF of Fractions 2/59,18/13,83/938,801/405 is 1/291375630
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 59,13,938,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,13,938,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,13,938,405) x common factors =1 x 1 = 1
LCM(59,13,938,405) = ( 59 × 13 × 938 × 405 ) / 1
LCM(59,13,938,405) = 291375630 / 1
LCM(59,13,938,405) = 291375630
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 2/59, 18/13, 83/938, 801/405?
Answer: GCF of Numerators as per given numbers 2/59, 18/13, 83/938, 801/405 is
GCF of Numerators i.e. for 2,18,83,801 is 1
LCM of denominators i.e. for 59,13,938,405 is 291375630.
Thus, GCF of Fractions is 1/291375630.Finally, GCF of Fractions for 2/59, 18/13, 83/938, 801/405 is 1/291375630.