GCD of 126, 682, 206, 320 Calculator

Given Input numbers are 126, 682, 206, 320

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (126, 682, 206, 320) = 2.

Given numbers are 126, 682, 206, 320

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 682 are 2 x 11 x 31

Prime factors of 206 are 2 x 103

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 126, 682, 206, 320 is 2.

Given numbers are 126, 682, 206, 320

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

Apply this formula for all numbers.

Step1:

LCM(126, 682) = 42966

GCD(126, 682) = ( 126 x 682 ) / 42966

= 126 / 682

= 126

Step2:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 126, 682, 206, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 462, 819, 920
• GCD of 827, 769, 897, 840
• GCD of 805, 378, 995, 843
• GCD of 200, 259, 282, 517
• GCD of 974, 874, 927, 297

Given numbers are 126, 682, 206, 320
The greatest common divisor of numbers 126, 682, 206, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 682, 206, 320 is 2.

1. What is the GCD of 126, 682, 206, 320?

GCD of given numbers 126, 682, 206, 320 is 2

2. How to calculate the greatest common divisor of 126, 682, 206, 320?

We can find the highest common divisor of 126, 682, 206, 320 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 126, 682, 206, 320 i.e 2.

3. How can I use the GCD of 126, 682, 206, 320Calculator?

Out the numbers 126, 682, 206, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.