GCD of 456, 170, 696, 616 Calculator

Given Input numbers are 456, 170, 696, 616

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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 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

GCD of numbers is the greatest common divisor

So, the GCD (456, 170, 696, 616) = 2.

Given numbers are 456, 170, 696, 616

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 170 are 2 x 5 x 17

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

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

The highest common occurrence is 2¹

Therefore, GCD of 456, 170, 696, 616 is 2.

Given numbers are 456, 170, 696, 616

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

Apply this formula for all numbers.

Step1:

LCM(456, 170) = 38760

GCD(456, 170) = ( 456 x 170 ) / 38760

= 456 / 170

= 456

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 456, 170, 696, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 605, 449, 316
• GCD of 747, 511, 757, 543
• GCD of 421, 772, 434, 147
• GCD of 437, 661, 525, 483
• GCD of 102, 911, 396, 771

Given numbers are 456, 170, 696, 616
The greatest common divisor of numbers 456, 170, 696, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 170, 696, 616 is 2.

1. What is the GCD of 456, 170, 696, 616?

GCD of given numbers 456, 170, 696, 616 is 2

2. How to calculate the greatest common divisor of 456, 170, 696, 616?

We can find the highest common divisor of 456, 170, 696, 616 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 456, 170, 696, 616 i.e 2.

3. How can I use the GCD of 456, 170, 696, 616Calculator?

Out the numbers 456, 170, 696, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.