GCF of 5056/307, 1809/6709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5056/307, 1809/6709 i.e 1/2059663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5056/307, 1809/6709.
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 5056/307,1809/6709?
Given fractions are 5056/307,1809/6709
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 5056/307,1809/6709, numerators are 5056,1809
Denominators are 307,6709
The GCF of 5056,1809 is 1 .
LCM of 307,6709 is 2059663.
The greatest common factor of 5056/307,1809/6709 = [GCF of 5056,1809]/[LCM of 307,6709]= 1/2059663
Therefore, the GCF of 5056/307,1809/6709 is 1/2059663.
To find the highest common factor of 5056,1809, we have to find the factors of both numbers and list the highest common factor.
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The HCF of 5056,1809 is 1.
Lets's calculate GCF of 5056,1809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5056,1809 By Matching Biggest Common Factor Method
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Greatest Common Factor
We found the factors 5056,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,1809 is 1.
Lets's calculate LCM of 307,6709
Given numbers has no common factors except 1. So, there LCM is their product i.e 2059663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2059663
Therefore, the GCF of Fractions 5056/307,1809/6709 is 1/2059663
Least Common Multiple of 307,6709 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 307,6709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,6709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,6709) x common factors =1 x 1 = 1
LCM(307,6709) = ( 307 × 6709 ) / 1
LCM(307,6709) = 2059663 / 1
LCM(307,6709) = 2059663
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5056/307, 1809/6709
1. What is the HCF of 5056,1809?
The HCF of 5056,1809 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 5056/307, 1809/6709?
Answer: GCF of Numerators as per given numbers 5056/307, 1809/6709 is
GCF of Numerators i.e. for 5056,1809 is 1
LCM of denominators i.e. for 307,6709 is 2059663.
Thus, GCF of Fractions is 1/2059663.Finally, GCF of Fractions for 5056/307, 1809/6709 is 1/2059663.