GCF of 2705/183, 3666/3438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2705/183, 3666/3438 i.e 1/209718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2705/183, 3666/3438.
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 2705/183,3666/3438?
Given fractions are 2705/183,3666/3438
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 2705/183,3666/3438, numerators are 2705,3666
Denominators are 183,3438
The GCF of 2705,3666 is 1 .
LCM of 183,3438 is 209718.
The greatest common factor of 2705/183,3666/3438 = [GCF of 2705,3666]/[LCM of 183,3438]= 1/209718
Therefore, the GCF of 2705/183,3666/3438 is 1/209718.
To find the highest common factor of 2705,3666, we have to find the factors of both numbers and list the highest common factor.
The factors of 2705 are 1, 5, 541, 2705
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The HCF of 2705,3666 is 1.
Lets's calculate GCF of 2705,3666
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2705,3666 By Matching Biggest Common Factor Method
Now, list down the factors of 2705
:1,5,541,2705
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Greatest Common Factor
We found the factors 2705,3666 . The biggest common factor number is the GCF number.
So the greatest common factor 2705,3666 is 1.
Lets's calculate LCM of 183,3438
| 3 | 183, 3438 |
| 61, 1146 |
∴ So the LCM of the given numbers is 3 x 61 x 1146 = 209718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209718
Therefore, the GCF of Fractions 2705/183,3666/3438 is 1/209718
Least Common Multiple of 183,3438 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 183,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,3438) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,3438) x common factors =3 x 1 = 3
LCM(183,3438) = ( 183 × 3438 ) / 3
LCM(183,3438) = 629154 / 3
LCM(183,3438) = 209718
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FAQs on GCF of Fractions of 2705/183, 3666/3438
1. What is the HCF of 2705,3666?
The HCF of 2705,3666 is 1
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 2705/183, 3666/3438?
Answer: GCF of Numerators as per given numbers 2705/183, 3666/3438 is
GCF of Numerators i.e. for 2705,3666 is 1
LCM of denominators i.e. for 183,3438 is 209718.
Thus, GCF of Fractions is 1/209718.Finally, GCF of Fractions for 2705/183, 3666/3438 is 1/209718.