GCF of 5120/713, 6605/6816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5120/713, 6605/6816 i.e 5/4859808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5120/713, 6605/6816.
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 5120/713,6605/6816?
Given fractions are 5120/713,6605/6816
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 5120/713,6605/6816, numerators are 5120,6605
Denominators are 713,6816
The GCF of 5120,6605 is 5 .
LCM of 713,6816 is 4859808.
The greatest common factor of 5120/713,6605/6816 = [GCF of 5120,6605]/[LCM of 713,6816]= 5/4859808
Therefore, the GCF of 5120/713,6605/6816 is 5/4859808.
To find the highest common factor of 5120,6605, we have to find the factors of both numbers and list the highest common factor.
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The factors of 6605 are 1, 5, 1321, 6605
The HCF of 5120,6605 is 5.
Lets's calculate GCF of 5120,6605
| 5 | 5120, 6605 |
| 1024, 1321 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5120,6605 By Matching Biggest Common Factor Method
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Now, list down the factors of 6605
:1,5,1321,6605
Greatest Common Factor
We found the factors 5120,6605 . The biggest common factor number is the GCF number.
So the greatest common factor 5120,6605 is 5.
Lets's calculate LCM of 713,6816
Given numbers has no common factors except 1. So, there LCM is their product i.e 4859808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4859808
Therefore, the GCF of Fractions 5120/713,6605/6816 is 5/4859808
Least Common Multiple of 713,6816 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 713,6816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,6816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,6816) x common factors =1 x 1 = 1
LCM(713,6816) = ( 713 × 6816 ) / 1
LCM(713,6816) = 4859808 / 1
LCM(713,6816) = 4859808
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FAQs on GCF of Fractions of 5120/713, 6605/6816
1. What is the HCF of 5120,6605?
The HCF of 5120,6605 is 5
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 5120/713, 6605/6816?
Answer: GCF of Numerators as per given numbers 5120/713, 6605/6816 is
GCF of Numerators i.e. for 5120,6605 is 5
LCM of denominators i.e. for 713,6816 is 4859808.
Thus, GCF of Fractions is 5/4859808.Finally, GCF of Fractions for 5120/713, 6605/6816 is 5/4859808.