Use our free GCF of Fractions Calculator tool to compute the GCF of 7004/559, 1421/7394 i.e 1/4133246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7004/559, 1421/7394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7004/559,1421/7394
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 7004/559,1421/7394, numerators are 7004,1421
Denominators are 559,7394
The GCF of 7004,1421 is 1 .
LCM of 559,7394 is 4133246.
The greatest common factor of 7004/559,1421/7394 = [GCF of 7004,1421]/[LCM of 559,7394]= 1/4133246
Therefore, the GCF of 7004/559,1421/7394 is 1/4133246.
To find the highest common factor of 7004,1421, we have to find the factors of both numbers and list the highest common factor.
The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004
The factors of 1421 are 1, 7, 29, 49, 203, 1421
The HCF of 7004,1421 is 1.
Lets's calculate GCF of 7004,1421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7004
:1,2,4,17,34,68,103,206,412,1751,3502,7004
Now, list down the factors of 1421
:1,7,29,49,203,1421
Greatest Common Factor
We found the factors 7004,1421 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,1421 is 1.
Lets's calculate LCM of 559,7394
Given numbers has no common factors except 1. So, there LCM is their product i.e 4133246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4133246
Therefore, the GCF of Fractions 7004/559,1421/7394 is 1/4133246
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 559,7394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,7394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,7394) x common factors =1 x 1 = 1
LCM(559,7394) = ( 559 × 7394 ) / 1
LCM(559,7394) = 4133246 / 1
LCM(559,7394) = 4133246
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7004,1421?
The HCF of 7004,1421 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 7004/559, 1421/7394?
Answer: GCF of Numerators as per given numbers 7004/559, 1421/7394 is
GCF of Numerators i.e. for 7004,1421 is 1
LCM of denominators i.e. for 559,7394 is 4133246.
Thus, GCF of Fractions is 1/4133246.Finally, GCF of Fractions for 7004/559, 1421/7394 is 1/4133246.