GCF of 3811/204, 3822/6814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3811/204, 3822/6814 i.e 1/695028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3811/204, 3822/6814.
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 3811/204,3822/6814?
Given fractions are 3811/204,3822/6814
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 3811/204,3822/6814, numerators are 3811,3822
Denominators are 204,6814
The GCF of 3811,3822 is 1 .
LCM of 204,6814 is 695028.
The greatest common factor of 3811/204,3822/6814 = [GCF of 3811,3822]/[LCM of 204,6814]= 1/695028
Therefore, the GCF of 3811/204,3822/6814 is 1/695028.
To find the highest common factor of 3811,3822, we have to find the factors of both numbers and list the highest common factor.
The factors of 3811 are 1, 37, 103, 3811
The factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822
The HCF of 3811,3822 is 1.
Lets's calculate GCF of 3811,3822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3811,3822 By Matching Biggest Common Factor Method
Now, list down the factors of 3811
:1,37,103,3811
Now, list down the factors of 3822
:1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822
Greatest Common Factor
We found the factors 3811,3822 . The biggest common factor number is the GCF number.
So the greatest common factor 3811,3822 is 1.
Lets's calculate LCM of 204,6814
| 2 | 204, 6814 |
| 102, 3407 |
∴ So the LCM of the given numbers is 2 x 102 x 3407 = 695028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695028
Therefore, the GCF of Fractions 3811/204,3822/6814 is 1/695028
Least Common Multiple of 204,6814 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 204,6814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,6814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,6814) x common factors =2 x 1 = 2
LCM(204,6814) = ( 204 × 6814 ) / 2
LCM(204,6814) = 1390056 / 2
LCM(204,6814) = 695028
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FAQs on GCF of Fractions of 3811/204, 3822/6814
1. What is the HCF of 3811,3822?
The HCF of 3811,3822 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 3811/204, 3822/6814?
Answer: GCF of Numerators as per given numbers 3811/204, 3822/6814 is
GCF of Numerators i.e. for 3811,3822 is 1
LCM of denominators i.e. for 204,6814 is 695028.
Thus, GCF of Fractions is 1/695028.Finally, GCF of Fractions for 3811/204, 3822/6814 is 1/695028.