GCF of 6811/459, 3216/3132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6811/459, 3216/3132 i.e 1/53244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6811/459, 3216/3132.
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 6811/459,3216/3132?
Given fractions are 6811/459,3216/3132
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 6811/459,3216/3132, numerators are 6811,3216
Denominators are 459,3132
The GCF of 6811,3216 is 1 .
LCM of 459,3132 is 53244.
The greatest common factor of 6811/459,3216/3132 = [GCF of 6811,3216]/[LCM of 459,3132]= 1/53244
Therefore, the GCF of 6811/459,3216/3132 is 1/53244.
To find the highest common factor of 6811,3216, we have to find the factors of both numbers and list the highest common factor.
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The factors of 3216 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 67, 134, 201, 268, 402, 536, 804, 1072, 1608, 3216
The HCF of 6811,3216 is 1.
Lets's calculate GCF of 6811,3216
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6811,3216 By Matching Biggest Common Factor Method
Now, list down the factors of 6811
:1,7,49,139,973,6811
Now, list down the factors of 3216
:1,2,3,4,6,8,12,16,24,48,67,134,201,268,402,536,804,1072,1608,3216
Greatest Common Factor
We found the factors 6811,3216 . The biggest common factor number is the GCF number.
So the greatest common factor 6811,3216 is 1.
Lets's calculate LCM of 459,3132
| 3 | 459, 3132 |
| 3 | 153, 1044 |
| 3 | 51, 348 |
| 17, 116 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 17 x 116 = 53244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53244
Therefore, the GCF of Fractions 6811/459,3216/3132 is 1/53244
Least Common Multiple of 459,3132 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 459,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,3132) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(459,3132) x common factors =27 x 1 = 27
LCM(459,3132) = ( 459 × 3132 ) / 27
LCM(459,3132) = 1437588 / 27
LCM(459,3132) = 53244
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FAQs on GCF of Fractions of 6811/459, 3216/3132
1. What is the HCF of 6811,3216?
The HCF of 6811,3216 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 6811/459, 3216/3132?
Answer: GCF of Numerators as per given numbers 6811/459, 3216/3132 is
GCF of Numerators i.e. for 6811,3216 is 1
LCM of denominators i.e. for 459,3132 is 53244.
Thus, GCF of Fractions is 1/53244.Finally, GCF of Fractions for 6811/459, 3216/3132 is 1/53244.