GCD of 690, 580, 316, 412 Calculator

Given Input numbers are 690, 580, 316, 412

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 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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (690, 580, 316, 412) = 2.

Given numbers are 690, 580, 316, 412

The list of prime factors of all numbers are

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

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 690, 580, 316, 412 is 2.

Given numbers are 690, 580, 316, 412

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

Apply this formula for all numbers.

Step1:

LCM(690, 580) = 40020

GCD(690, 580) = ( 690 x 580 ) / 40020

= 690 / 580

= 690

Step2:

LCM(10, 316) = 1580

GCD(10, 316) = ( 10 x 316 ) / 1580

= 10 / 316

= 10

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 690, 580, 316, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 310, 295, 624
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• GCD of 556, 572, 723, 687

Given numbers are 690, 580, 316, 412
The greatest common divisor of numbers 690, 580, 316, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 580, 316, 412 is 2.

1. What is the GCD of 690, 580, 316, 412?

GCD of given numbers 690, 580, 316, 412 is 2

2. How to calculate the greatest common divisor of 690, 580, 316, 412?

We can find the highest common divisor of 690, 580, 316, 412 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, 580, 316, 412 i.e 2.

3. How can I use the GCD of 690, 580, 316, 412Calculator?

Out the numbers 690, 580, 316, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.