Use our free GCF of Fractions Calculator tool to compute the GCF of 9401/366, 4123/7445 i.e 7/2724870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9401/366, 4123/7445.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9401/366,4123/7445
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 9401/366,4123/7445, numerators are 9401,4123
Denominators are 366,7445
The GCF of 9401,4123 is 7 .
LCM of 366,7445 is 2724870.
The greatest common factor of 9401/366,4123/7445 = [GCF of 9401,4123]/[LCM of 366,7445]= 7/2724870
Therefore, the GCF of 9401/366,4123/7445 is 7/2724870.
To find the highest common factor of 9401,4123, we have to find the factors of both numbers and list the highest common factor.
The factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401
The factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123
The HCF of 9401,4123 is 7.
Lets's calculate GCF of 9401,4123
7 | 9401, 4123 |
1343, 589 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 9401
:1,7,17,79,119,553,1343,9401
Now, list down the factors of 4123
:1,7,19,31,133,217,589,4123
Greatest Common Factor
We found the factors 9401,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 9401,4123 is 7.
Lets's calculate LCM of 366,7445
Given numbers has no common factors except 1. So, there LCM is their product i.e 2724870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2724870
Therefore, the GCF of Fractions 9401/366,4123/7445 is 7/2724870
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 366,7445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,7445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(366,7445) x common factors =1 x 1 = 1
LCM(366,7445) = ( 366 × 7445 ) / 1
LCM(366,7445) = 2724870 / 1
LCM(366,7445) = 2724870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9401,4123?
The HCF of 9401,4123 is 7
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 9401/366, 4123/7445?
Answer: GCF of Numerators as per given numbers 9401/366, 4123/7445 is
GCF of Numerators i.e. for 9401,4123 is 7
LCM of denominators i.e. for 366,7445 is 2724870.
Thus, GCF of Fractions is 7/2724870.Finally, GCF of Fractions for 9401/366, 4123/7445 is 7/2724870.