GCD of 204, 790, 686, 672 Calculator

Given Input numbers are 204, 790, 686, 672

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

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (204, 790, 686, 672) = 2.

Given numbers are 204, 790, 686, 672

The list of prime factors of all numbers are

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

Prime factors of 790 are 2 x 5 x 79

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 204, 790, 686, 672 is 2.

Given numbers are 204, 790, 686, 672

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

Apply this formula for all numbers.

Step1:

LCM(204, 790) = 80580

GCD(204, 790) = ( 204 x 790 ) / 80580

= 204 / 790

= 204

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 204, 790, 686, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 989, 680, 370
• GCD of 119, 895, 542, 637
• GCD of 197, 136, 437, 297
• GCD of 488, 422, 398, 805
• GCD of 420, 567, 890, 133

Given numbers are 204, 790, 686, 672
The greatest common divisor of numbers 204, 790, 686, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 790, 686, 672 is 2.

1. What is the GCD of 204, 790, 686, 672?

GCD of given numbers 204, 790, 686, 672 is 2

2. How to calculate the greatest common divisor of 204, 790, 686, 672?

We can find the highest common divisor of 204, 790, 686, 672 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 204, 790, 686, 672 i.e 2.

3. How can I use the GCD of 204, 790, 686, 672Calculator?

Out the numbers 204, 790, 686, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.