Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/365,978/237,800/162
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 741,978,800
Greatest Common Factor of Numerators i.e. GCF of 741,978,800 is 1 .
LCM of Denominators means LCM of 365,237,162 as per the given fractions.
LCM of 365,237,162 is 4671270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,978,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 741,978,800 . The biggest common factor number is the GCF number.
So the greatest common factor 741,978,800 is 1.
Lets's calculate LCM of 365,237,162
3 | 365, 237, 162 |
365, 79, 54 |
∴ So the LCM of the given numbers is 3 x 365 x 79 x 54 = 4671270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4671270
Therefore, the GCF of Fractions 741/365,978/237,800/162 is 1/4671270
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 365,237,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,237,162) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(365,237,162) x common factors =1 x 3 = 3
LCM(365,237,162) = ( 365 × 237 × 162 ) / 3
LCM(365,237,162) = 14013810 / 3
LCM(365,237,162) = 4671270
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 741/365, 978/237, 800/162?
Answer: GCF of Numerators as per given numbers 741/365, 978/237, 800/162 is
GCF of Numerators i.e. for 741,978,800 is 1
LCM of denominators i.e. for 365,237,162 is 4671270.
Thus, GCF of Fractions is 1/4671270.Finally, GCF of Fractions for 741/365, 978/237, 800/162 is 1/4671270.