Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/36,621/44,172/194
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 59,621,172
Greatest Common Factor of Numerators i.e. GCF of 59,621,172 is 1 .
LCM of Denominators means LCM of 36,44,194 as per the given fractions.
LCM of 36,44,194 is 38412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 59,621,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 59,621,172 . The biggest common factor number is the GCF number.
So the greatest common factor 59,621,172 is 1.
Lets's calculate LCM of 36,44,194
2 | 36, 44, 194 |
2 | 18, 22, 97 |
9, 11, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 11 x 97 = 38412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38412
Therefore, the GCF of Fractions 59/36,621/44,172/194 is 1/38412
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 36,44,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,44,194) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(36,44,194) x common factors =2 x 4 = 8
LCM(36,44,194) = ( 36 × 44 × 194 ) / 8
LCM(36,44,194) = 307296 / 8
LCM(36,44,194) = 38412
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 59/36, 621/44, 172/194?
Answer: GCF of Numerators as per given numbers 59/36, 621/44, 172/194 is
GCF of Numerators i.e. for 59,621,172 is 1
LCM of denominators i.e. for 36,44,194 is 38412.
Thus, GCF of Fractions is 1/38412.Finally, GCF of Fractions for 59/36, 621/44, 172/194 is 1/38412.