GCD of 356, 664, 870, 396 Calculator

Given Input numbers are 356, 664, 870, 396

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (356, 664, 870, 396) = 2.

Given numbers are 356, 664, 870, 396

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 664 are 2 x 2 x 2 x 83

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 356, 664, 870, 396 is 2.

Given numbers are 356, 664, 870, 396

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

Apply this formula for all numbers.

Step1:

LCM(356, 664) = 59096

GCD(356, 664) = ( 356 x 664 ) / 59096

= 356 / 664

= 356

Step2:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 356, 664, 870, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 362, 822, 302
• GCD of 330, 397, 941, 159
• GCD of 424, 263, 527, 123
• GCD of 351, 355, 585, 917
• GCD of 523, 998, 590, 384

Given numbers are 356, 664, 870, 396
The greatest common divisor of numbers 356, 664, 870, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 664, 870, 396 is 2.

1. What is the GCD of 356, 664, 870, 396?

GCD of given numbers 356, 664, 870, 396 is 2

2. How to calculate the greatest common divisor of 356, 664, 870, 396?

We can find the highest common divisor of 356, 664, 870, 396 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 356, 664, 870, 396 i.e 2.

3. How can I use the GCD of 356, 664, 870, 396Calculator?

Out the numbers 356, 664, 870, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.