GCD of 465, 168, 99, 843 Calculator

Given Input numbers are 465, 168, 99, 843

In the factoring method, we have to find the divisors of all numbers

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 99 :

The positive integer divisors of 99 that completely divides 99 are.

1, 3, 9, 11, 33, 99

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

GCD of numbers is the greatest common divisor

So, the GCD (465, 168, 99, 843) = 3.

Given numbers are 465, 168, 99, 843

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 99 are 3 x 3 x 11

Prime factors of 843 are 3 x 281

The highest common occurrence is 3¹

Therefore, GCD of 465, 168, 99, 843 is 3.

Given numbers are 465, 168, 99, 843

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(465, 168) = 26040

GCD(465, 168) = ( 465 x 168 ) / 26040

= 465 / 168

= 465

Step2:

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

= 3 / 99

= 3

Step3:

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

= 3 / 843

= 3

So, Greatest Common Divisor of 465, 168, 99, 843 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 761, 74, 409
• GCD of 876, 770, 43, 658
• GCD of 543, 466, 17, 103
• GCD of 237, 114, 65, 332
• GCD of 472, 603, 21, 907

Given numbers are 465, 168, 99, 843
The greatest common divisor of numbers 465, 168, 99, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 168, 99, 843 is 3.

1. What is the GCD of 465, 168, 99, 843?

GCD of given numbers 465, 168, 99, 843 is 3

2. How to calculate the greatest common divisor of 465, 168, 99, 843?

We can find the highest common divisor of 465, 168, 99, 843 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 465, 168, 99, 843 i.e 3.

3. How can I use the GCD of 465, 168, 99, 843Calculator?

Out the numbers 465, 168, 99, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.