Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/709,4335/609
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 445,4335
Greatest Common Factor of Numerators i.e. GCF of 445,4335 is 5 .
LCM of Denominators means LCM of 709,609 as per the given fractions.
LCM of 709,609 is 431781 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 445,4335
5 | 445, 4335 |
89, 867 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 4335
List of positive integer factors of 4335 that divides 4335 without a remainder.
1,3,5,15,17,51,85,255,289,867,1445,4335
Greatest Common Factor
We found the factors 445,4335 . The biggest common factor number is the GCF number.
So the greatest common factor 445,4335 is 5.
Lets's calculate LCM of 709,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 431781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/431781
Therefore, the GCF of Fractions 445/709,4335/609 is 5/431781
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 709,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,609) x common factors =1 x 1 = 1
LCM(709,609) = ( 709 × 609 ) / 1
LCM(709,609) = 431781 / 1
LCM(709,609) = 431781
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 445/709, 4335/609?
Answer: GCF of Numerators as per given numbers 445/709, 4335/609 is
GCF of Numerators i.e. for 445,4335 is 5
LCM of denominators i.e. for 709,609 is 431781.
Thus, GCF of Fractions is 5/431781.Finally, GCF of Fractions for 445/709, 4335/609 is 5/431781.