GCD of 690, 292, 558, 204 Calculator

Given Input numbers are 690, 292, 558, 204

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (690, 292, 558, 204) = 2.

Given numbers are 690, 292, 558, 204

The list of prime factors of all numbers are

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

Prime factors of 292 are 2 x 2 x 73

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 690, 292, 558, 204 is 2.

Given numbers are 690, 292, 558, 204

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

Apply this formula for all numbers.

Step1:

LCM(690, 292) = 100740

GCD(690, 292) = ( 690 x 292 ) / 100740

= 690 / 292

= 690

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 690, 292, 558, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 321, 165, 767
• GCD of 662, 193, 767, 458
• GCD of 555, 692, 165, 588
• GCD of 632, 703, 354, 106
• GCD of 844, 624, 159, 106

Given numbers are 690, 292, 558, 204
The greatest common divisor of numbers 690, 292, 558, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 292, 558, 204 is 2.

1. What is the GCD of 690, 292, 558, 204?

GCD of given numbers 690, 292, 558, 204 is 2

2. How to calculate the greatest common divisor of 690, 292, 558, 204?

We can find the highest common divisor of 690, 292, 558, 204 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, 292, 558, 204 i.e 2.

3. How can I use the GCD of 690, 292, 558, 204Calculator?

Out the numbers 690, 292, 558, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.