GCF of 3314/330, 9106/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3314/330, 9106/323 i.e 2/106590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3314/330, 9106/323.
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 3314/330,9106/323?
Given fractions are 3314/330,9106/323
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 3314/330,9106/323, numerators are 3314,9106
Denominators are 330,323
The GCF of 3314,9106 is 2 .
LCM of 330,323 is 106590.
The greatest common factor of 3314/330,9106/323 = [GCF of 3314,9106]/[LCM of 330,323]= 2/106590
Therefore, the GCF of 3314/330,9106/323 is 2/106590.
To find the highest common factor of 3314,9106, we have to find the factors of both numbers and list the highest common factor.
The factors of 3314 are 1, 2, 1657, 3314
The factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106
The HCF of 3314,9106 is 2.
Lets's calculate GCF of 3314,9106
| 2 | 3314, 9106 |
| 1657, 4553 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3314,9106 By Matching Biggest Common Factor Method
Now, list down the factors of 3314
:1,2,1657,3314
Now, list down the factors of 9106
:1,2,29,58,157,314,4553,9106
Greatest Common Factor
We found the factors 3314,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 3314,9106 is 2.
Lets's calculate LCM of 330,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 106590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/106590
Therefore, the GCF of Fractions 3314/330,9106/323 is 2/106590
Least Common Multiple of 330,323 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 330,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,323) x common factors =1 x 1 = 1
LCM(330,323) = ( 330 × 323 ) / 1
LCM(330,323) = 106590 / 1
LCM(330,323) = 106590
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FAQs on GCF of Fractions of 3314/330, 9106/323
1. What is the HCF of 3314,9106?
The HCF of 3314,9106 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 3314/330, 9106/323?
Answer: GCF of Numerators as per given numbers 3314/330, 9106/323 is
GCF of Numerators i.e. for 3314,9106 is 2
LCM of denominators i.e. for 330,323 is 106590.
Thus, GCF of Fractions is 2/106590.Finally, GCF of Fractions for 3314/330, 9106/323 is 2/106590.