GCD of 580, 676, 690 Calculator

Given Input numbers are 580, 676, 690

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

GCD of numbers is the greatest common divisor

So, the GCD (580, 676, 690) = 2.

Given numbers are 580, 676, 690

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 676 are 2 x 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 580, 676, 690 is 2.

Given numbers are 580, 676, 690

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

Apply this formula for all numbers.

Step1:

LCM(580, 676) = 98020

GCD(580, 676) = ( 580 x 676 ) / 98020

= 580 / 676

= 580

Step2:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

So, Greatest Common Divisor of 580, 676, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 975, 858
• GCD of 185, 215, 135
• GCD of 723, 108, 778
• GCD of 355, 981, 956
• GCD of 180, 163, 733

Given numbers are 580, 676, 690
The greatest common divisor of numbers 580, 676, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 676, 690 is 2.

1. What is the GCD of 580, 676, 690?

GCD of given numbers 580, 676, 690 is 2

2. How to calculate the greatest common divisor of 580, 676, 690?

We can find the highest common divisor of 580, 676, 690 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 580, 676, 690 i.e 2.

3. How can I use the GCD of 580, 676, 690Calculator?

Out the numbers 580, 676, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.