GCD of 690, 408, 843, 465 Calculator

Given Input numbers are 690, 408, 843, 465

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 843 :

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

1, 3, 281, 843

Divisors of 465 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (690, 408, 843, 465) = 3.

Given numbers are 690, 408, 843, 465

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 843 are 3 x 281

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 3¹

Therefore, GCD of 690, 408, 843, 465 is 3.

Given numbers are 690, 408, 843, 465

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

Apply this formula for all numbers.

Step1:

LCM(690, 408) = 46920

GCD(690, 408) = ( 690 x 408 ) / 46920

= 690 / 408

= 690

Step2:

LCM(6, 843) = 1686

GCD(6, 843) = ( 6 x 843 ) / 1686

= 6 / 843

= 6

Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

So, Greatest Common Divisor of 690, 408, 843, 465 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 608, 860, 772
• GCD of 707, 384, 439, 710
• GCD of 112, 983, 912, 445
• GCD of 608, 474, 597, 662
• GCD of 614, 619, 352, 588

Given numbers are 690, 408, 843, 465
The greatest common divisor of numbers 690, 408, 843, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 408, 843, 465 is 3.

1. What is the GCD of 690, 408, 843, 465?

GCD of given numbers 690, 408, 843, 465 is 3

2. How to calculate the greatest common divisor of 690, 408, 843, 465?

We can find the highest common divisor of 690, 408, 843, 465 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 690, 408, 843, 465 i.e 3.

3. How can I use the GCD of 690, 408, 843, 465Calculator?

Out the numbers 690, 408, 843, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.