Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/57,74/73,442/623
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 36,74,442
Greatest Common Factor of Numerators i.e. GCF of 36,74,442 is 2 .
LCM of Denominators means LCM of 57,73,623 as per the given fractions.
LCM of 57,73,623 is 2592303 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,74,442
2 | 36, 74, 442 |
18, 37, 221 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 36,74,442 . The biggest common factor number is the GCF number.
So the greatest common factor 36,74,442 is 2.
Lets's calculate LCM of 57,73,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 2592303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2592303
Therefore, the GCF of Fractions 36/57,74/73,442/623 is 2/2592303
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 57,73,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,73,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,73,623) x common factors =1 x 1 = 1
LCM(57,73,623) = ( 57 × 73 × 623 ) / 1
LCM(57,73,623) = 2592303 / 1
LCM(57,73,623) = 2592303
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 36/57, 74/73, 442/623?
Answer: GCF of Numerators as per given numbers 36/57, 74/73, 442/623 is
GCF of Numerators i.e. for 36,74,442 is 2
LCM of denominators i.e. for 57,73,623 is 2592303.
Thus, GCF of Fractions is 2/2592303.Finally, GCF of Fractions for 36/57, 74/73, 442/623 is 2/2592303.