GCF of 8835/390, 1689/3366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8835/390, 1689/3366 i.e 3/218790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8835/390, 1689/3366.
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 8835/390,1689/3366?
Given fractions are 8835/390,1689/3366
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 8835/390,1689/3366, numerators are 8835,1689
Denominators are 390,3366
The GCF of 8835,1689 is 3 .
LCM of 390,3366 is 218790.
The greatest common factor of 8835/390,1689/3366 = [GCF of 8835,1689]/[LCM of 390,3366]= 3/218790
Therefore, the GCF of 8835/390,1689/3366 is 3/218790.
To find the highest common factor of 8835,1689, we have to find the factors of both numbers and list the highest common factor.
The factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835
The factors of 1689 are 1, 3, 563, 1689
The HCF of 8835,1689 is 3.
Lets's calculate GCF of 8835,1689
| 3 | 8835, 1689 |
| 2945, 563 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8835,1689 By Matching Biggest Common Factor Method
Now, list down the factors of 8835
:1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Now, list down the factors of 1689
:1,3,563,1689
Greatest Common Factor
We found the factors 8835,1689 . The biggest common factor number is the GCF number.
So the greatest common factor 8835,1689 is 3.
Lets's calculate LCM of 390,3366
| 2 | 390, 3366 |
| 3 | 195, 1683 |
| 65, 561 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 561 = 218790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/218790
Therefore, the GCF of Fractions 8835/390,1689/3366 is 3/218790
Least Common Multiple of 390,3366 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 390,3366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,3366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,3366) x common factors =6 x 1 = 6
LCM(390,3366) = ( 390 × 3366 ) / 6
LCM(390,3366) = 1312740 / 6
LCM(390,3366) = 218790
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FAQs on GCF of Fractions of 8835/390, 1689/3366
1. What is the HCF of 8835,1689?
The HCF of 8835,1689 is 3
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 8835/390, 1689/3366?
Answer: GCF of Numerators as per given numbers 8835/390, 1689/3366 is
GCF of Numerators i.e. for 8835,1689 is 3
LCM of denominators i.e. for 390,3366 is 218790.
Thus, GCF of Fractions is 3/218790.Finally, GCF of Fractions for 8835/390, 1689/3366 is 3/218790.