GCD of 456, 696, 870, 273 Calculator

Given Input numbers are 456, 696, 870, 273

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 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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (456, 696, 870, 273) = 3.

Given numbers are 456, 696, 870, 273

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 456, 696, 870, 273 is 3.

Given numbers are 456, 696, 870, 273

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

Apply this formula for all numbers.

Step1:

LCM(456, 696) = 13224

GCD(456, 696) = ( 456 x 696 ) / 13224

= 456 / 696

= 456

Step2:

LCM(24, 870) = 3480

GCD(24, 870) = ( 24 x 870 ) / 3480

= 24 / 870

= 24

Step3:

LCM(6, 273) = 546

GCD(6, 273) = ( 6 x 273 ) / 546

= 6 / 273

= 6

So, Greatest Common Divisor of 456, 696, 870, 273 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 903, 805, 191
• GCD of 556, 335, 950, 963
• GCD of 287, 835, 947, 793
• GCD of 564, 916, 357, 867
• GCD of 270, 596, 978, 483

Given numbers are 456, 696, 870, 273
The greatest common divisor of numbers 456, 696, 870, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 696, 870, 273 is 3.

1. What is the GCD of 456, 696, 870, 273?

GCD of given numbers 456, 696, 870, 273 is 3

2. How to calculate the greatest common divisor of 456, 696, 870, 273?

We can find the highest common divisor of 456, 696, 870, 273 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, 696, 870, 273 i.e 3.

3. How can I use the GCD of 456, 696, 870, 273Calculator?

Out the numbers 456, 696, 870, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.