GCD of 486, 546, 696, 680 Calculator

Given Input numbers are 486, 546, 696, 680

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (486, 546, 696, 680) = 2.

Given numbers are 486, 546, 696, 680

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 486, 546, 696, 680 is 2.

Given numbers are 486, 546, 696, 680

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

Apply this formula for all numbers.

Step1:

LCM(486, 546) = 44226

GCD(486, 546) = ( 486 x 546 ) / 44226

= 486 / 546

= 486

Step2:

LCM(6, 696) = 696

GCD(6, 696) = ( 6 x 696 ) / 696

= 6 / 696

= 6

Step3:

LCM(6, 680) = 2040

GCD(6, 680) = ( 6 x 680 ) / 2040

= 6 / 680

= 6

So, Greatest Common Divisor of 486, 546, 696, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 137, 932, 733
• GCD of 998, 837, 558, 895
• GCD of 606, 428, 284, 676
• GCD of 867, 420, 709, 924
• GCD of 369, 473, 502, 421

Given numbers are 486, 546, 696, 680
The greatest common divisor of numbers 486, 546, 696, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 546, 696, 680 is 2.

1. What is the GCD of 486, 546, 696, 680?

GCD of given numbers 486, 546, 696, 680 is 2

2. How to calculate the greatest common divisor of 486, 546, 696, 680?

We can find the highest common divisor of 486, 546, 696, 680 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 486, 546, 696, 680 i.e 2.

3. How can I use the GCD of 486, 546, 696, 680Calculator?

Out the numbers 486, 546, 696, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.