Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 550/64,133/89,161/32
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 550,133,161
Greatest Common Factor of Numerators i.e. GCF of 550,133,161 is 1 .
LCM of Denominators means LCM of 64,89,32 as per the given fractions.
LCM of 64,89,32 is 5696 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 550,133,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 550,133,161 . The biggest common factor number is the GCF number.
So the greatest common factor 550,133,161 is 1.
Lets's calculate LCM of 64,89,32
2 | 64, 89, 32 |
2 | 32, 89, 16 |
2 | 8, 89, 16 |
2 | 4, 89, 8 |
2 | 2, 89, 4 |
1, 89, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 89 x 2 = 5696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5696
Therefore, the GCF of Fractions 550/64,133/89,161/32 is 1/5696
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 64,89,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,89,32) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(64,89,32) x common factors =1 x 32 = 32
LCM(64,89,32) = ( 64 × 89 × 32 ) / 32
LCM(64,89,32) = 182272 / 32
LCM(64,89,32) = 5696
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 550/64, 133/89, 161/32?
Answer: GCF of Numerators as per given numbers 550/64, 133/89, 161/32 is
GCF of Numerators i.e. for 550,133,161 is 1
LCM of denominators i.e. for 64,89,32 is 5696.
Thus, GCF of Fractions is 1/5696.Finally, GCF of Fractions for 550/64, 133/89, 161/32 is 1/5696.