GCF of 6005/207, 1939/1306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6005/207, 1939/1306 i.e 1/270342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6005/207, 1939/1306.
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 6005/207,1939/1306?
Given fractions are 6005/207,1939/1306
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 6005/207,1939/1306, numerators are 6005,1939
Denominators are 207,1306
The GCF of 6005,1939 is 1 .
LCM of 207,1306 is 270342.
The greatest common factor of 6005/207,1939/1306 = [GCF of 6005,1939]/[LCM of 207,1306]= 1/270342
Therefore, the GCF of 6005/207,1939/1306 is 1/270342.
To find the highest common factor of 6005,1939, we have to find the factors of both numbers and list the highest common factor.
The factors of 6005 are 1, 5, 1201, 6005
The factors of 1939 are 1, 7, 277, 1939
The HCF of 6005,1939 is 1.
Lets's calculate GCF of 6005,1939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6005,1939 By Matching Biggest Common Factor Method
Now, list down the factors of 6005
:1,5,1201,6005
Now, list down the factors of 1939
:1,7,277,1939
Greatest Common Factor
We found the factors 6005,1939 . The biggest common factor number is the GCF number.
So the greatest common factor 6005,1939 is 1.
Lets's calculate LCM of 207,1306
Given numbers has no common factors except 1. So, there LCM is their product i.e 270342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270342
Therefore, the GCF of Fractions 6005/207,1939/1306 is 1/270342
Least Common Multiple of 207,1306 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 207,1306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,1306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,1306) x common factors =1 x 1 = 1
LCM(207,1306) = ( 207 × 1306 ) / 1
LCM(207,1306) = 270342 / 1
LCM(207,1306) = 270342
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6005/207, 1939/1306
1. What is the HCF of 6005,1939?
The HCF of 6005,1939 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 6005/207, 1939/1306?
Answer: GCF of Numerators as per given numbers 6005/207, 1939/1306 is
GCF of Numerators i.e. for 6005,1939 is 1
LCM of denominators i.e. for 207,1306 is 270342.
Thus, GCF of Fractions is 1/270342.Finally, GCF of Fractions for 6005/207, 1939/1306 is 1/270342.