GCF of 3399/772, 3234/6660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3399/772, 3234/6660 i.e 33/1285380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3399/772, 3234/6660.
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 3399/772,3234/6660?
Given fractions are 3399/772,3234/6660
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 3399/772,3234/6660, numerators are 3399,3234
Denominators are 772,6660
The GCF of 3399,3234 is 33 .
LCM of 772,6660 is 1285380.
The greatest common factor of 3399/772,3234/6660 = [GCF of 3399,3234]/[LCM of 772,6660]= 33/1285380
Therefore, the GCF of 3399/772,3234/6660 is 33/1285380.
To find the highest common factor of 3399,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399
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 3399,3234 is 33.
Lets's calculate GCF of 3399,3234
| 3 | 3399, 3234 |
| 11 | 1133, 1078 |
| 103, 98 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 3399,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 3399
:1,3,11,33,103,309,1133,3399
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 3399,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 3399,3234 is 33.
Lets's calculate LCM of 772,6660
| 2 | 772, 6660 |
| 2 | 386, 3330 |
| 193, 1665 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 1665 = 1285380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/1285380
Therefore, the GCF of Fractions 3399/772,3234/6660 is 33/1285380
Least Common Multiple of 772,6660 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 772,6660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,6660) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,6660) x common factors =4 x 1 = 4
LCM(772,6660) = ( 772 × 6660 ) / 4
LCM(772,6660) = 5141520 / 4
LCM(772,6660) = 1285380
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FAQs on GCF of Fractions of 3399/772, 3234/6660
1. What is the HCF of 3399,3234?
The HCF of 3399,3234 is 33
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 3399/772, 3234/6660?
Answer: GCF of Numerators as per given numbers 3399/772, 3234/6660 is
GCF of Numerators i.e. for 3399,3234 is 33
LCM of denominators i.e. for 772,6660 is 1285380.
Thus, GCF of Fractions is 33/1285380.Finally, GCF of Fractions for 3399/772, 3234/6660 is 33/1285380.