GCD of 616, 546, 684, 466 Calculator

Given Input numbers are 616, 546, 684, 466

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

GCD of numbers is the greatest common divisor

So, the GCD (616, 546, 684, 466) = 2.

Given numbers are 616, 546, 684, 466

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 466 are 2 x 233

The highest common occurrence is 2¹

Therefore, GCD of 616, 546, 684, 466 is 2.

Given numbers are 616, 546, 684, 466

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

Apply this formula for all numbers.

Step1:

LCM(616, 546) = 24024

GCD(616, 546) = ( 616 x 546 ) / 24024

= 616 / 546

= 616

Step2:

LCM(14, 684) = 4788

GCD(14, 684) = ( 14 x 684 ) / 4788

= 14 / 684

= 14

Step3:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

So, Greatest Common Divisor of 616, 546, 684, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 175, 972, 990
• GCD of 362, 364, 642, 552
• GCD of 596, 644, 721, 178
• GCD of 212, 259, 830, 619
• GCD of 977, 825, 924, 565

Given numbers are 616, 546, 684, 466
The greatest common divisor of numbers 616, 546, 684, 466 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 546, 684, 466 is 2.

1. What is the GCD of 616, 546, 684, 466?

GCD of given numbers 616, 546, 684, 466 is 2

2. How to calculate the greatest common divisor of 616, 546, 684, 466?

We can find the highest common divisor of 616, 546, 684, 466 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 616, 546, 684, 466 i.e 2.

3. How can I use the GCD of 616, 546, 684, 466Calculator?

Out the numbers 616, 546, 684, 466 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.