GCF of 6926/487, 5684/664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6926/487, 5684/664 i.e 2/323368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6926/487, 5684/664.
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 6926/487,5684/664?
Given fractions are 6926/487,5684/664
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 6926/487,5684/664, numerators are 6926,5684
Denominators are 487,664
The GCF of 6926,5684 is 2 .
LCM of 487,664 is 323368.
The greatest common factor of 6926/487,5684/664 = [GCF of 6926,5684]/[LCM of 487,664]= 2/323368
Therefore, the GCF of 6926/487,5684/664 is 2/323368.
To find the highest common factor of 6926,5684, we have to find the factors of both numbers and list the highest common factor.
The factors of 6926 are 1, 2, 3463, 6926
The factors of 5684 are 1, 2, 4, 7, 14, 28, 29, 49, 58, 98, 116, 196, 203, 406, 812, 1421, 2842, 5684
The HCF of 6926,5684 is 2.
Lets's calculate GCF of 6926,5684
| 2 | 6926, 5684 |
| 3463, 2842 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6926,5684 By Matching Biggest Common Factor Method
Now, list down the factors of 6926
:1,2,3463,6926
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
Greatest Common Factor
We found the factors 6926,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 6926,5684 is 2.
Lets's calculate LCM of 487,664
Given numbers has no common factors except 1. So, there LCM is their product i.e 323368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/323368
Therefore, the GCF of Fractions 6926/487,5684/664 is 2/323368
Least Common Multiple of 487,664 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 487,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,664) x common factors =1 x 1 = 1
LCM(487,664) = ( 487 × 664 ) / 1
LCM(487,664) = 323368 / 1
LCM(487,664) = 323368
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FAQs on GCF of Fractions of 6926/487, 5684/664
1. What is the HCF of 6926,5684?
The HCF of 6926,5684 is 2
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 6926/487, 5684/664?
Answer: GCF of Numerators as per given numbers 6926/487, 5684/664 is
GCF of Numerators i.e. for 6926,5684 is 2
LCM of denominators i.e. for 487,664 is 323368.
Thus, GCF of Fractions is 2/323368.Finally, GCF of Fractions for 6926/487, 5684/664 is 2/323368.