GCF of 5406/233, 6813/6864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5406/233, 6813/6864 i.e 3/1599312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5406/233, 6813/6864.
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 5406/233,6813/6864?
Given fractions are 5406/233,6813/6864
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 5406/233,6813/6864, numerators are 5406,6813
Denominators are 233,6864
The GCF of 5406,6813 is 3 .
LCM of 233,6864 is 1599312.
The greatest common factor of 5406/233,6813/6864 = [GCF of 5406,6813]/[LCM of 233,6864]= 3/1599312
Therefore, the GCF of 5406/233,6813/6864 is 3/1599312.
To find the highest common factor of 5406,6813, we have to find the factors of both numbers and list the highest common factor.
The factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406
The factors of 6813 are 1, 3, 9, 757, 2271, 6813
The HCF of 5406,6813 is 3.
Lets's calculate GCF of 5406,6813
| 3 | 5406, 6813 |
| 1802, 2271 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5406,6813 By Matching Biggest Common Factor Method
Now, list down the factors of 5406
:1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406
Now, list down the factors of 6813
:1,3,9,757,2271,6813
Greatest Common Factor
We found the factors 5406,6813 . The biggest common factor number is the GCF number.
So the greatest common factor 5406,6813 is 3.
Lets's calculate LCM of 233,6864
Given numbers has no common factors except 1. So, there LCM is their product i.e 1599312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1599312
Therefore, the GCF of Fractions 5406/233,6813/6864 is 3/1599312
Least Common Multiple of 233,6864 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 233,6864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,6864) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,6864) x common factors =1 x 1 = 1
LCM(233,6864) = ( 233 × 6864 ) / 1
LCM(233,6864) = 1599312 / 1
LCM(233,6864) = 1599312
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FAQs on GCF of Fractions of 5406/233, 6813/6864
1. What is the HCF of 5406,6813?
The HCF of 5406,6813 is 3
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 5406/233, 6813/6864?
Answer: GCF of Numerators as per given numbers 5406/233, 6813/6864 is
GCF of Numerators i.e. for 5406,6813 is 3
LCM of denominators i.e. for 233,6864 is 1599312.
Thus, GCF of Fractions is 3/1599312.Finally, GCF of Fractions for 5406/233, 6813/6864 is 3/1599312.