Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/370,1333/233
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 744,1333
Greatest Common Factor of Numerators i.e. GCF of 744,1333 is 31 .
LCM of Denominators means LCM of 370,233 as per the given fractions.
LCM of 370,233 is 86210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,1333
31 | 744, 1333 |
24, 43 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 1333
List of positive integer factors of 1333 that divides 1333 without a remainder.
1,31,43,1333
Greatest Common Factor
We found the factors 744,1333 . The biggest common factor number is the GCF number.
So the greatest common factor 744,1333 is 31.
Lets's calculate LCM of 370,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 86210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/86210
Therefore, the GCF of Fractions 744/370,1333/233 is 31/86210
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 370,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,233) x common factors =1 x 1 = 1
LCM(370,233) = ( 370 × 233 ) / 1
LCM(370,233) = 86210 / 1
LCM(370,233) = 86210
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 744/370, 1333/233?
Answer: GCF of Numerators as per given numbers 744/370, 1333/233 is
GCF of Numerators i.e. for 744,1333 is 31
LCM of denominators i.e. for 370,233 is 86210.
Thus, GCF of Fractions is 31/86210.Finally, GCF of Fractions for 744/370, 1333/233 is 31/86210.