Use our free GCF of Fractions Calculator tool to compute the GCF of 7003/413, 3565/9157 i.e 1/3781841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7003/413, 3565/9157.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7003/413,3565/9157
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 7003/413,3565/9157, numerators are 7003,3565
Denominators are 413,9157
The GCF of 7003,3565 is 1 .
LCM of 413,9157 is 3781841.
The greatest common factor of 7003/413,3565/9157 = [GCF of 7003,3565]/[LCM of 413,9157]= 1/3781841
Therefore, the GCF of 7003/413,3565/9157 is 1/3781841.
To find the highest common factor of 7003,3565, we have to find the factors of both numbers and list the highest common factor.
The factors of 7003 are 1, 47, 149, 7003
The factors of 3565 are 1, 5, 23, 31, 115, 155, 713, 3565
The HCF of 7003,3565 is 1.
Lets's calculate GCF of 7003,3565
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7003
:1,47,149,7003
Now, list down the factors of 3565
:1,5,23,31,115,155,713,3565
Greatest Common Factor
We found the factors 7003,3565 . The biggest common factor number is the GCF number.
So the greatest common factor 7003,3565 is 1.
Lets's calculate LCM of 413,9157
Given numbers has no common factors except 1. So, there LCM is their product i.e 3781841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3781841
Therefore, the GCF of Fractions 7003/413,3565/9157 is 1/3781841
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 413,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,9157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,9157) x common factors =1 x 1 = 1
LCM(413,9157) = ( 413 × 9157 ) / 1
LCM(413,9157) = 3781841 / 1
LCM(413,9157) = 3781841
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7003,3565?
The HCF of 7003,3565 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 7003/413, 3565/9157?
Answer: GCF of Numerators as per given numbers 7003/413, 3565/9157 is
GCF of Numerators i.e. for 7003,3565 is 1
LCM of denominators i.e. for 413,9157 is 3781841.
Thus, GCF of Fractions is 1/3781841.Finally, GCF of Fractions for 7003/413, 3565/9157 is 1/3781841.