GCF of 1666/213, 3852/2385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1666/213, 3852/2385 i.e 2/169335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1666/213, 3852/2385.
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 1666/213,3852/2385?
Given fractions are 1666/213,3852/2385
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 1666/213,3852/2385, numerators are 1666,3852
Denominators are 213,2385
The GCF of 1666,3852 is 2 .
LCM of 213,2385 is 169335.
The greatest common factor of 1666/213,3852/2385 = [GCF of 1666,3852]/[LCM of 213,2385]= 2/169335
Therefore, the GCF of 1666/213,3852/2385 is 2/169335.
To find the highest common factor of 1666,3852, we have to find the factors of both numbers and list the highest common factor.
The factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The HCF of 1666,3852 is 2.
Lets's calculate GCF of 1666,3852
| 2 | 1666, 3852 |
| 833, 1926 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1666,3852 By Matching Biggest Common Factor Method
Now, list down the factors of 1666
:1,2,7,14,17,34,49,98,119,238,833,1666
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Greatest Common Factor
We found the factors 1666,3852 . The biggest common factor number is the GCF number.
So the greatest common factor 1666,3852 is 2.
Lets's calculate LCM of 213,2385
| 3 | 213, 2385 |
| 71, 795 |
∴ So the LCM of the given numbers is 3 x 71 x 795 = 169335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169335
Therefore, the GCF of Fractions 1666/213,3852/2385 is 2/169335
Least Common Multiple of 213,2385 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 213,2385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,2385) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,2385) x common factors =3 x 1 = 3
LCM(213,2385) = ( 213 × 2385 ) / 3
LCM(213,2385) = 508005 / 3
LCM(213,2385) = 169335
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FAQs on GCF of Fractions of 1666/213, 3852/2385
1. What is the HCF of 1666,3852?
The HCF of 1666,3852 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 1666/213, 3852/2385?
Answer: GCF of Numerators as per given numbers 1666/213, 3852/2385 is
GCF of Numerators i.e. for 1666,3852 is 2
LCM of denominators i.e. for 213,2385 is 169335.
Thus, GCF of Fractions is 2/169335.Finally, GCF of Fractions for 1666/213, 3852/2385 is 2/169335.