Use our free GCF of Fractions Calculator tool to compute the GCF of 603/374, 851/580 i.e 1/108460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/374, 851/580.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/374,851/580
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 603/374,851/580, numerators are 603,851
Denominators are 374,580
The GCF of 603,851 is 1 .
LCM of 374,580 is 108460.
The greatest common factor of 603/374,851/580 = [GCF of 603,851]/[LCM of 374,580]= 1/108460
Therefore, the GCF of 603/374,851/580 is 1/108460.
To find the highest common factor of 603,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 851 are 1, 23, 37, 851
The HCF of 603,851 is 1.
Lets's calculate GCF of 603,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 603,851 . The biggest common factor number is the GCF number.
So the greatest common factor 603,851 is 1.
Lets's calculate LCM of 374,580
2 | 374, 580 |
187, 290 |
∴ So the LCM of the given numbers is 2 x 187 x 290 = 108460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108460
Therefore, the GCF of Fractions 603/374,851/580 is 1/108460
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 374,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,580) x common factors =2 x 1 = 2
LCM(374,580) = ( 374 × 580 ) / 2
LCM(374,580) = 216920 / 2
LCM(374,580) = 108460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 603,851?
The HCF of 603,851 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 603/374, 851/580?
Answer: GCF of Numerators as per given numbers 603/374, 851/580 is
GCF of Numerators i.e. for 603,851 is 1
LCM of denominators i.e. for 374,580 is 108460.
Thus, GCF of Fractions is 1/108460.Finally, GCF of Fractions for 603/374, 851/580 is 1/108460.