GCF of 1866/918, 4565/9180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1866/918, 4565/9180 i.e 1/9180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1866/918, 4565/9180.
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 1866/918,4565/9180?
Given fractions are 1866/918,4565/9180
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 1866/918,4565/9180, numerators are 1866,4565
Denominators are 918,9180
The GCF of 1866,4565 is 1 .
LCM of 918,9180 is 9180.
The greatest common factor of 1866/918,4565/9180 = [GCF of 1866,4565]/[LCM of 918,9180]= 1/9180
Therefore, the GCF of 1866/918,4565/9180 is 1/9180.
To find the highest common factor of 1866,4565, we have to find the factors of both numbers and list the highest common factor.
The factors of 1866 are 1, 2, 3, 6, 311, 622, 933, 1866
The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565
The HCF of 1866,4565 is 1.
Lets's calculate GCF of 1866,4565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1866,4565 By Matching Biggest Common Factor Method
Now, list down the factors of 1866
:1,2,3,6,311,622,933,1866
Now, list down the factors of 4565
:1,5,11,55,83,415,913,4565
Greatest Common Factor
We found the factors 1866,4565 . The biggest common factor number is the GCF number.
So the greatest common factor 1866,4565 is 1.
Lets's calculate LCM of 918,9180
| 2 | 918, 9180 |
| 3 | 459, 4590 |
| 3 | 153, 1530 |
| 3 | 51, 510 |
| 17 | 17, 170 |
| 1, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 17 x 1 x 10 = 9180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9180
Therefore, the GCF of Fractions 1866/918,4565/9180 is 1/9180
Least Common Multiple of 918,9180 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 918,9180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,9180) = 918
common factors(in case of two or more numbers have common factors) = 1
GCF(918,9180) x common factors =918 x 1 = 918
LCM(918,9180) = ( 918 × 9180 ) / 918
LCM(918,9180) = 8427240 / 918
LCM(918,9180) = 9180
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FAQs on GCF of Fractions of 1866/918, 4565/9180
1. What is the HCF of 1866,4565?
The HCF of 1866,4565 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 1866/918, 4565/9180?
Answer: GCF of Numerators as per given numbers 1866/918, 4565/9180 is
GCF of Numerators i.e. for 1866,4565 is 1
LCM of denominators i.e. for 918,9180 is 9180.
Thus, GCF of Fractions is 1/9180.Finally, GCF of Fractions for 1866/918, 4565/9180 is 1/9180.