GCD of 690, 702, 297, 585 Calculator

Given Input numbers are 690, 702, 297, 585

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (690, 702, 297, 585) = 3.

Given numbers are 690, 702, 297, 585

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 690, 702, 297, 585 is 3.

Given numbers are 690, 702, 297, 585

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

Apply this formula for all numbers.

Step1:

LCM(690, 702) = 80730

GCD(690, 702) = ( 690 x 702 ) / 80730

= 690 / 702

= 690

Step2:

LCM(6, 297) = 594

GCD(6, 297) = ( 6 x 297 ) / 594

= 6 / 297

= 6

Step3:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

So, Greatest Common Divisor of 690, 702, 297, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 730, 547, 165
• GCD of 700, 350, 843, 529
• GCD of 728, 698, 537, 659
• GCD of 829, 210, 605, 475
• GCD of 228, 437, 206, 996

Given numbers are 690, 702, 297, 585
The greatest common divisor of numbers 690, 702, 297, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 702, 297, 585 is 3.

1. What is the GCD of 690, 702, 297, 585?

GCD of given numbers 690, 702, 297, 585 is 3

2. How to calculate the greatest common divisor of 690, 702, 297, 585?

We can find the highest common divisor of 690, 702, 297, 585 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, 702, 297, 585 i.e 3.

3. How can I use the GCD of 690, 702, 297, 585Calculator?

Out the numbers 690, 702, 297, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.