GCF of 6067/849, 8299/5366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6067/849, 8299/5366 i.e 1/4555734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6067/849, 8299/5366.
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 6067/849,8299/5366?
Given fractions are 6067/849,8299/5366
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 6067/849,8299/5366, numerators are 6067,8299
Denominators are 849,5366
The GCF of 6067,8299 is 1 .
LCM of 849,5366 is 4555734.
The greatest common factor of 6067/849,8299/5366 = [GCF of 6067,8299]/[LCM of 849,5366]= 1/4555734
Therefore, the GCF of 6067/849,8299/5366 is 1/4555734.
To find the highest common factor of 6067,8299, we have to find the factors of both numbers and list the highest common factor.
The factors of 6067 are 1, 6067
The factors of 8299 are 1, 43, 193, 8299
The HCF of 6067,8299 is 1.
Lets's calculate GCF of 6067,8299
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6067,8299 By Matching Biggest Common Factor Method
Now, list down the factors of 6067
:1,6067
Now, list down the factors of 8299
:1,43,193,8299
Greatest Common Factor
We found the factors 6067,8299 . The biggest common factor number is the GCF number.
So the greatest common factor 6067,8299 is 1.
Lets's calculate LCM of 849,5366
Given numbers has no common factors except 1. So, there LCM is their product i.e 4555734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4555734
Therefore, the GCF of Fractions 6067/849,8299/5366 is 1/4555734
Least Common Multiple of 849,5366 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 849,5366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,5366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,5366) x common factors =1 x 1 = 1
LCM(849,5366) = ( 849 × 5366 ) / 1
LCM(849,5366) = 4555734 / 1
LCM(849,5366) = 4555734
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6067/849, 8299/5366
1. What is the HCF of 6067,8299?
The HCF of 6067,8299 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 6067/849, 8299/5366?
Answer: GCF of Numerators as per given numbers 6067/849, 8299/5366 is
GCF of Numerators i.e. for 6067,8299 is 1
LCM of denominators i.e. for 849,5366 is 4555734.
Thus, GCF of Fractions is 1/4555734.Finally, GCF of Fractions for 6067/849, 8299/5366 is 1/4555734.