GCF of 5726/320, 3464/8360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5726/320, 3464/8360 i.e 2/66880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5726/320, 3464/8360.
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 5726/320,3464/8360?
Given fractions are 5726/320,3464/8360
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 5726/320,3464/8360, numerators are 5726,3464
Denominators are 320,8360
The GCF of 5726,3464 is 2 .
LCM of 320,8360 is 66880.
The greatest common factor of 5726/320,3464/8360 = [GCF of 5726,3464]/[LCM of 320,8360]= 2/66880
Therefore, the GCF of 5726/320,3464/8360 is 2/66880.
To find the highest common factor of 5726,3464, we have to find the factors of both numbers and list the highest common factor.
The factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726
The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464
The HCF of 5726,3464 is 2.
Lets's calculate GCF of 5726,3464
| 2 | 5726, 3464 |
| 2863, 1732 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5726,3464 By Matching Biggest Common Factor Method
Now, list down the factors of 5726
:1,2,7,14,409,818,2863,5726
Now, list down the factors of 3464
:1,2,4,8,433,866,1732,3464
Greatest Common Factor
We found the factors 5726,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 5726,3464 is 2.
Lets's calculate LCM of 320,8360
| 2 | 320, 8360 |
| 2 | 160, 4180 |
| 2 | 80, 2090 |
| 5 | 40, 1045 |
| 8, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 8 x 209 = 66880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66880
Therefore, the GCF of Fractions 5726/320,3464/8360 is 2/66880
Least Common Multiple of 320,8360 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 320,8360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,8360) = 40
common factors(in case of two or more numbers have common factors) = 1
GCF(320,8360) x common factors =40 x 1 = 40
LCM(320,8360) = ( 320 × 8360 ) / 40
LCM(320,8360) = 2675200 / 40
LCM(320,8360) = 66880
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FAQs on GCF of Fractions of 5726/320, 3464/8360
1. What is the HCF of 5726,3464?
The HCF of 5726,3464 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 5726/320, 3464/8360?
Answer: GCF of Numerators as per given numbers 5726/320, 3464/8360 is
GCF of Numerators i.e. for 5726,3464 is 2
LCM of denominators i.e. for 320,8360 is 66880.
Thus, GCF of Fractions is 2/66880.Finally, GCF of Fractions for 5726/320, 3464/8360 is 2/66880.