GCF of 6168/769, 2069/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6168/769, 2069/608 i.e 1/467552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6168/769, 2069/608.
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 6168/769,2069/608?
Given fractions are 6168/769,2069/608
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 6168/769,2069/608, numerators are 6168,2069
Denominators are 769,608
The GCF of 6168,2069 is 1 .
LCM of 769,608 is 467552.
The greatest common factor of 6168/769,2069/608 = [GCF of 6168,2069]/[LCM of 769,608]= 1/467552
Therefore, the GCF of 6168/769,2069/608 is 1/467552.
To find the highest common factor of 6168,2069, we have to find the factors of both numbers and list the highest common factor.
The factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168
The factors of 2069 are 1, 2069
The HCF of 6168,2069 is 1.
Lets's calculate GCF of 6168,2069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6168,2069 By Matching Biggest Common Factor Method
Now, list down the factors of 6168
:1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Now, list down the factors of 2069
:1,2069
Greatest Common Factor
We found the factors 6168,2069 . The biggest common factor number is the GCF number.
So the greatest common factor 6168,2069 is 1.
Lets's calculate LCM of 769,608
Given numbers has no common factors except 1. So, there LCM is their product i.e 467552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467552
Therefore, the GCF of Fractions 6168/769,2069/608 is 1/467552
Least Common Multiple of 769,608 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 769,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,608) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,608) x common factors =1 x 1 = 1
LCM(769,608) = ( 769 × 608 ) / 1
LCM(769,608) = 467552 / 1
LCM(769,608) = 467552
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6168/769, 2069/608
1. What is the HCF of 6168,2069?
The HCF of 6168,2069 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 6168/769, 2069/608?
Answer: GCF of Numerators as per given numbers 6168/769, 2069/608 is
GCF of Numerators i.e. for 6168,2069 is 1
LCM of denominators i.e. for 769,608 is 467552.
Thus, GCF of Fractions is 1/467552.Finally, GCF of Fractions for 6168/769, 2069/608 is 1/467552.