Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5450/142,5676/592
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 5450,5676
Greatest Common Factor of Numerators i.e. GCF of 5450,5676 is 2 .
LCM of Denominators means LCM of 142,592 as per the given fractions.
LCM of 142,592 is 42032 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5450,5676
2 | 5450, 5676 |
2725, 2838 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5450
List of positive integer factors of 5450 that divides 5450 without a remainder.
1,2,5,10,25,50,109,218,545,1090,2725,5450
Factors of 5676
List of positive integer factors of 5676 that divides 5676 without a remainder.
1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Greatest Common Factor
We found the factors 5450,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 5450,5676 is 2.
Lets's calculate LCM of 142,592
2 | 142, 592 |
71, 296 |
∴ So the LCM of the given numbers is 2 x 71 x 296 = 42032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42032
Therefore, the GCF of Fractions 5450/142,5676/592 is 2/42032
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 142,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,592) x common factors =2 x 1 = 2
LCM(142,592) = ( 142 × 592 ) / 2
LCM(142,592) = 84064 / 2
LCM(142,592) = 42032
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 5450/142, 5676/592?
Answer: GCF of Numerators as per given numbers 5450/142, 5676/592 is
GCF of Numerators i.e. for 5450,5676 is 2
LCM of denominators i.e. for 142,592 is 42032.
Thus, GCF of Fractions is 2/42032.Finally, GCF of Fractions for 5450/142, 5676/592 is 2/42032.