GCF of 6656/791, 2561/6726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6656/791, 2561/6726 i.e 13/5320266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6656/791, 2561/6726.
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 6656/791,2561/6726?
Given fractions are 6656/791,2561/6726
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 6656/791,2561/6726, numerators are 6656,2561
Denominators are 791,6726
The GCF of 6656,2561 is 13 .
LCM of 791,6726 is 5320266.
The greatest common factor of 6656/791,2561/6726 = [GCF of 6656,2561]/[LCM of 791,6726]= 13/5320266
Therefore, the GCF of 6656/791,2561/6726 is 13/5320266.
To find the highest common factor of 6656,2561, we have to find the factors of both numbers and list the highest common factor.
The factors of 6656 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1664, 3328, 6656
The factors of 2561 are 1, 13, 197, 2561
The HCF of 6656,2561 is 13.
Lets's calculate GCF of 6656,2561
| 13 | 6656, 2561 |
| 512, 197 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6656,2561 By Matching Biggest Common Factor Method
Now, list down the factors of 6656
:1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656
Now, list down the factors of 2561
:1,13,197,2561
Greatest Common Factor
We found the factors 6656,2561 . The biggest common factor number is the GCF number.
So the greatest common factor 6656,2561 is 13.
Lets's calculate LCM of 791,6726
Given numbers has no common factors except 1. So, there LCM is their product i.e 5320266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5320266
Therefore, the GCF of Fractions 6656/791,2561/6726 is 13/5320266
Least Common Multiple of 791,6726 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 791,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,6726) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,6726) x common factors =1 x 1 = 1
LCM(791,6726) = ( 791 × 6726 ) / 1
LCM(791,6726) = 5320266 / 1
LCM(791,6726) = 5320266
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6656/791, 2561/6726
1. What is the HCF of 6656,2561?
The HCF of 6656,2561 is 13
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 6656/791, 2561/6726?
Answer: GCF of Numerators as per given numbers 6656/791, 2561/6726 is
GCF of Numerators i.e. for 6656,2561 is 13
LCM of denominators i.e. for 791,6726 is 5320266.
Thus, GCF of Fractions is 13/5320266.Finally, GCF of Fractions for 6656/791, 2561/6726 is 13/5320266.