Use our free GCF of Fractions Calculator tool to compute the GCF of 2355/603, 3407/7106 i.e 1/4284918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2355/603, 3407/7106.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2355/603,3407/7106
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2355/603,3407/7106, numerators are 2355,3407
Denominators are 603,7106
The GCF of 2355,3407 is 1 .
LCM of 603,7106 is 4284918.
The greatest common factor of 2355/603,3407/7106 = [GCF of 2355,3407]/[LCM of 603,7106]= 1/4284918
Therefore, the GCF of 2355/603,3407/7106 is 1/4284918.
To find the highest common factor of 2355,3407, we have to find the factors of both numbers and list the highest common factor.
The factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355
The factors of 3407 are 1, 3407
The HCF of 2355,3407 is 1.
Lets's calculate GCF of 2355,3407
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2355
:1,3,5,15,157,471,785,2355
Now, list down the factors of 3407
:1,3407
Greatest Common Factor
We found the factors 2355,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 2355,3407 is 1.
Lets's calculate LCM of 603,7106
Given numbers has no common factors except 1. So, there LCM is their product i.e 4284918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4284918
Therefore, the GCF of Fractions 2355/603,3407/7106 is 1/4284918
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 603,7106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,7106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,7106) x common factors =1 x 1 = 1
LCM(603,7106) = ( 603 × 7106 ) / 1
LCM(603,7106) = 4284918 / 1
LCM(603,7106) = 4284918
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2355,3407?
The HCF of 2355,3407 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2355/603, 3407/7106?
Answer: GCF of Numerators as per given numbers 2355/603, 3407/7106 is
GCF of Numerators i.e. for 2355,3407 is 1
LCM of denominators i.e. for 603,7106 is 4284918.
Thus, GCF of Fractions is 1/4284918.Finally, GCF of Fractions for 2355/603, 3407/7106 is 1/4284918.