GCF of 3039/326, 3234/2108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3039/326, 3234/2108 i.e 3/343604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3039/326, 3234/2108.
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 3039/326,3234/2108?
Given fractions are 3039/326,3234/2108
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 3039/326,3234/2108, numerators are 3039,3234
Denominators are 326,2108
The GCF of 3039,3234 is 3 .
LCM of 326,2108 is 343604.
The greatest common factor of 3039/326,3234/2108 = [GCF of 3039,3234]/[LCM of 326,2108]= 3/343604
Therefore, the GCF of 3039/326,3234/2108 is 3/343604.
To find the highest common factor of 3039,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 3039 are 1, 3, 1013, 3039
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The HCF of 3039,3234 is 3.
Lets's calculate GCF of 3039,3234
| 3 | 3039, 3234 |
| 1013, 1078 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3039,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 3039
:1,3,1013,3039
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Greatest Common Factor
We found the factors 3039,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 3039,3234 is 3.
Lets's calculate LCM of 326,2108
| 2 | 326, 2108 |
| 163, 1054 |
∴ So the LCM of the given numbers is 2 x 163 x 1054 = 343604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/343604
Therefore, the GCF of Fractions 3039/326,3234/2108 is 3/343604
Least Common Multiple of 326,2108 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 326,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,2108) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,2108) x common factors =2 x 1 = 2
LCM(326,2108) = ( 326 × 2108 ) / 2
LCM(326,2108) = 687208 / 2
LCM(326,2108) = 343604
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FAQs on GCF of Fractions of 3039/326, 3234/2108
1. What is the HCF of 3039,3234?
The HCF of 3039,3234 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 3039/326, 3234/2108?
Answer: GCF of Numerators as per given numbers 3039/326, 3234/2108 is
GCF of Numerators i.e. for 3039,3234 is 3
LCM of denominators i.e. for 326,2108 is 343604.
Thus, GCF of Fractions is 3/343604.Finally, GCF of Fractions for 3039/326, 3234/2108 is 3/343604.