GCF of 8397/417, 6712/3569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8397/417, 6712/3569 i.e 1/1488273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8397/417, 6712/3569.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8397/417,6712/3569?
Given fractions are 8397/417,6712/3569
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 8397/417,6712/3569, numerators are 8397,6712
Denominators are 417,3569
The GCF of 8397,6712 is 1 .
LCM of 417,3569 is 1488273.
The greatest common factor of 8397/417,6712/3569 = [GCF of 8397,6712]/[LCM of 417,3569]= 1/1488273
Therefore, the GCF of 8397/417,6712/3569 is 1/1488273.
To find the highest common factor of 8397,6712, we have to find the factors of both numbers and list the highest common factor.
The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397
The factors of 6712 are 1, 2, 4, 8, 839, 1678, 3356, 6712
The HCF of 8397,6712 is 1.
Lets's calculate GCF of 8397,6712
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8397,6712 By Matching Biggest Common Factor Method
Now, list down the factors of 8397
:1,3,9,27,311,933,2799,8397
Now, list down the factors of 6712
:1,2,4,8,839,1678,3356,6712
Greatest Common Factor
We found the factors 8397,6712 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,6712 is 1.
Lets's calculate LCM of 417,3569
Given numbers has no common factors except 1. So, there LCM is their product i.e 1488273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1488273
Therefore, the GCF of Fractions 8397/417,6712/3569 is 1/1488273
Least Common Multiple of 417,3569 with GCF Formula
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 417,3569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,3569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,3569) x common factors =1 x 1 = 1
LCM(417,3569) = ( 417 × 3569 ) / 1
LCM(417,3569) = 1488273 / 1
LCM(417,3569) = 1488273
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8397/417, 6712/3569
1. What is the HCF of 8397,6712?
The HCF of 8397,6712 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 8397/417, 6712/3569?
Answer: GCF of Numerators as per given numbers 8397/417, 6712/3569 is
GCF of Numerators i.e. for 8397,6712 is 1
LCM of denominators i.e. for 417,3569 is 1488273.
Thus, GCF of Fractions is 1/1488273.Finally, GCF of Fractions for 8397/417, 6712/3569 is 1/1488273.