Use our free GCF of Fractions Calculator tool to compute the GCF of 7462/322, 3603/3859 i.e 1/1242598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7462/322, 3603/3859.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7462/322,3603/3859
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 7462/322,3603/3859, numerators are 7462,3603
Denominators are 322,3859
The GCF of 7462,3603 is 1 .
LCM of 322,3859 is 1242598.
The greatest common factor of 7462/322,3603/3859 = [GCF of 7462,3603]/[LCM of 322,3859]= 1/1242598
Therefore, the GCF of 7462/322,3603/3859 is 1/1242598.
To find the highest common factor of 7462,3603, we have to find the factors of both numbers and list the highest common factor.
The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
The factors of 3603 are 1, 3, 1201, 3603
The HCF of 7462,3603 is 1.
Lets's calculate GCF of 7462,3603
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7462
:1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Now, list down the factors of 3603
:1,3,1201,3603
Greatest Common Factor
We found the factors 7462,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 7462,3603 is 1.
Lets's calculate LCM of 322,3859
Given numbers has no common factors except 1. So, there LCM is their product i.e 1242598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242598
Therefore, the GCF of Fractions 7462/322,3603/3859 is 1/1242598
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 322,3859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,3859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,3859) x common factors =1 x 1 = 1
LCM(322,3859) = ( 322 × 3859 ) / 1
LCM(322,3859) = 1242598 / 1
LCM(322,3859) = 1242598
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7462,3603?
The HCF of 7462,3603 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 7462/322, 3603/3859?
Answer: GCF of Numerators as per given numbers 7462/322, 3603/3859 is
GCF of Numerators i.e. for 7462,3603 is 1
LCM of denominators i.e. for 322,3859 is 1242598.
Thus, GCF of Fractions is 1/1242598.Finally, GCF of Fractions for 7462/322, 3603/3859 is 1/1242598.