GCF of 3226/993, 3268/4001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3226/993, 3268/4001 i.e 2/3972993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3226/993, 3268/4001.
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 3226/993,3268/4001?
Given fractions are 3226/993,3268/4001
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 3226/993,3268/4001, numerators are 3226,3268
Denominators are 993,4001
The GCF of 3226,3268 is 2 .
LCM of 993,4001 is 3972993.
The greatest common factor of 3226/993,3268/4001 = [GCF of 3226,3268]/[LCM of 993,4001]= 2/3972993
Therefore, the GCF of 3226/993,3268/4001 is 2/3972993.
To find the highest common factor of 3226,3268, we have to find the factors of both numbers and list the highest common factor.
The factors of 3226 are 1, 2, 1613, 3226
The factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268
The HCF of 3226,3268 is 2.
Lets's calculate GCF of 3226,3268
| 2 | 3226, 3268 |
| 1613, 1634 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3226,3268 By Matching Biggest Common Factor Method
Now, list down the factors of 3226
:1,2,1613,3226
Now, list down the factors of 3268
:1,2,4,19,38,43,76,86,172,817,1634,3268
Greatest Common Factor
We found the factors 3226,3268 . The biggest common factor number is the GCF number.
So the greatest common factor 3226,3268 is 2.
Lets's calculate LCM of 993,4001
Given numbers has no common factors except 1. So, there LCM is their product i.e 3972993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3972993
Therefore, the GCF of Fractions 3226/993,3268/4001 is 2/3972993
Least Common Multiple of 993,4001 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 993,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,4001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(993,4001) x common factors =1 x 1 = 1
LCM(993,4001) = ( 993 × 4001 ) / 1
LCM(993,4001) = 3972993 / 1
LCM(993,4001) = 3972993
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FAQs on GCF of Fractions of 3226/993, 3268/4001
1. What is the HCF of 3226,3268?
The HCF of 3226,3268 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 3226/993, 3268/4001?
Answer: GCF of Numerators as per given numbers 3226/993, 3268/4001 is
GCF of Numerators i.e. for 3226,3268 is 2
LCM of denominators i.e. for 993,4001 is 3972993.
Thus, GCF of Fractions is 2/3972993.Finally, GCF of Fractions for 3226/993, 3268/4001 is 2/3972993.