GCF of 5684/320, 2665/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5684/320, 2665/794 i.e 1/127040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5684/320, 2665/794.
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 5684/320,2665/794?
Given fractions are 5684/320,2665/794
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 5684/320,2665/794, numerators are 5684,2665
Denominators are 320,794
The GCF of 5684,2665 is 1 .
LCM of 320,794 is 127040.
The greatest common factor of 5684/320,2665/794 = [GCF of 5684,2665]/[LCM of 320,794]= 1/127040
Therefore, the GCF of 5684/320,2665/794 is 1/127040.
To find the highest common factor of 5684,2665, we have to find the factors of both numbers and list the highest common factor.
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665
The HCF of 5684,2665 is 1.
Lets's calculate GCF of 5684,2665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5684,2665 By Matching Biggest Common Factor Method
Now, list down the factors of 5684
:1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Now, list down the factors of 2665
:1,5,13,41,65,205,533,2665
Greatest Common Factor
We found the factors 5684,2665 . The biggest common factor number is the GCF number.
So the greatest common factor 5684,2665 is 1.
Lets's calculate LCM of 320,794
| 2 | 320, 794 |
| 160, 397 |
∴ So the LCM of the given numbers is 2 x 160 x 397 = 127040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127040
Therefore, the GCF of Fractions 5684/320,2665/794 is 1/127040
Least Common Multiple of 320,794 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 320,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,794) x common factors =2 x 1 = 2
LCM(320,794) = ( 320 × 794 ) / 2
LCM(320,794) = 254080 / 2
LCM(320,794) = 127040
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FAQs on GCF of Fractions of 5684/320, 2665/794
1. What is the HCF of 5684,2665?
The HCF of 5684,2665 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 5684/320, 2665/794?
Answer: GCF of Numerators as per given numbers 5684/320, 2665/794 is
GCF of Numerators i.e. for 5684,2665 is 1
LCM of denominators i.e. for 320,794 is 127040.
Thus, GCF of Fractions is 1/127040.Finally, GCF of Fractions for 5684/320, 2665/794 is 1/127040.