GCF of 3366/609, 6444/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3366/609, 6444/627 i.e 18/127281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3366/609, 6444/627.
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 3366/609,6444/627?
Given fractions are 3366/609,6444/627
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 3366/609,6444/627, numerators are 3366,6444
Denominators are 609,627
The GCF of 3366,6444 is 18 .
LCM of 609,627 is 127281.
The greatest common factor of 3366/609,6444/627 = [GCF of 3366,6444]/[LCM of 609,627]= 18/127281
Therefore, the GCF of 3366/609,6444/627 is 18/127281.
To find the highest common factor of 3366,6444, we have to find the factors of both numbers and list the highest common factor.
The factors of 3366 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366
The factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444
The HCF of 3366,6444 is 18.
Lets's calculate GCF of 3366,6444
| 2 | 3366, 6444 |
| 3 | 1683, 3222 |
| 3 | 561, 1074 |
| 187, 358 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3366,6444 By Matching Biggest Common Factor Method
Now, list down the factors of 3366
:1,2,3,6,9,11,17,18,22,33,34,51,66,99,102,153,187,198,306,374,561,1122,1683,3366
Now, list down the factors of 6444
:1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Greatest Common Factor
We found the factors 3366,6444 . The biggest common factor number is the GCF number.
So the greatest common factor 3366,6444 is 18.
Lets's calculate LCM of 609,627
| 3 | 609, 627 |
| 203, 209 |
∴ So the LCM of the given numbers is 3 x 203 x 209 = 127281
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/127281
Therefore, the GCF of Fractions 3366/609,6444/627 is 18/127281
Least Common Multiple of 609,627 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 609,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,627) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,627) x common factors =3 x 1 = 3
LCM(609,627) = ( 609 × 627 ) / 3
LCM(609,627) = 381843 / 3
LCM(609,627) = 127281
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FAQs on GCF of Fractions of 3366/609, 6444/627
1. What is the HCF of 3366,6444?
The HCF of 3366,6444 is 18
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 3366/609, 6444/627?
Answer: GCF of Numerators as per given numbers 3366/609, 6444/627 is
GCF of Numerators i.e. for 3366,6444 is 18
LCM of denominators i.e. for 609,627 is 127281.
Thus, GCF of Fractions is 18/127281.Finally, GCF of Fractions for 3366/609, 6444/627 is 18/127281.