GCF of 3806/326, 6826/3212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3806/326, 6826/3212 i.e 2/523556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3806/326, 6826/3212.
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 3806/326,6826/3212?
Given fractions are 3806/326,6826/3212
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 3806/326,6826/3212, numerators are 3806,6826
Denominators are 326,3212
The GCF of 3806,6826 is 2 .
LCM of 326,3212 is 523556.
The greatest common factor of 3806/326,6826/3212 = [GCF of 3806,6826]/[LCM of 326,3212]= 2/523556
Therefore, the GCF of 3806/326,6826/3212 is 2/523556.
To find the highest common factor of 3806,6826, we have to find the factors of both numbers and list the highest common factor.
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The factors of 6826 are 1, 2, 3413, 6826
The HCF of 3806,6826 is 2.
Lets's calculate GCF of 3806,6826
| 2 | 3806, 6826 |
| 1903, 3413 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3806,6826 By Matching Biggest Common Factor Method
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Now, list down the factors of 6826
:1,2,3413,6826
Greatest Common Factor
We found the factors 3806,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,6826 is 2.
Lets's calculate LCM of 326,3212
| 2 | 326, 3212 |
| 163, 1606 |
∴ So the LCM of the given numbers is 2 x 163 x 1606 = 523556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/523556
Therefore, the GCF of Fractions 3806/326,6826/3212 is 2/523556
Least Common Multiple of 326,3212 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 326,3212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,3212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,3212) x common factors =2 x 1 = 2
LCM(326,3212) = ( 326 × 3212 ) / 2
LCM(326,3212) = 1047112 / 2
LCM(326,3212) = 523556
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FAQs on GCF of Fractions of 3806/326, 6826/3212
1. What is the HCF of 3806,6826?
The HCF of 3806,6826 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 3806/326, 6826/3212?
Answer: GCF of Numerators as per given numbers 3806/326, 6826/3212 is
GCF of Numerators i.e. for 3806,6826 is 2
LCM of denominators i.e. for 326,3212 is 523556.
Thus, GCF of Fractions is 2/523556.Finally, GCF of Fractions for 3806/326, 6826/3212 is 2/523556.