GCD of 788, 400, 356, 858 Calculator

Given Input numbers are 788, 400, 356, 858

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 356 :

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

1, 2, 4, 89, 178, 356

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (788, 400, 356, 858) = 2.

Given numbers are 788, 400, 356, 858

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 356 are 2 x 2 x 89

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 788, 400, 356, 858 is 2.

Given numbers are 788, 400, 356, 858

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

Apply this formula for all numbers.

Step1:

LCM(788, 400) = 78800

GCD(788, 400) = ( 788 x 400 ) / 78800

= 788 / 400

= 788

Step2:

LCM(4, 356) = 356

GCD(4, 356) = ( 4 x 356 ) / 356

= 4 / 356

= 4

Step3:

LCM(4, 858) = 1716

GCD(4, 858) = ( 4 x 858 ) / 1716

= 4 / 858

= 4

So, Greatest Common Divisor of 788, 400, 356, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 123, 479, 294
• GCD of 445, 608, 354, 952
• GCD of 615, 609, 664, 350
• GCD of 859, 409, 698, 913
• GCD of 365, 911, 349, 915

Given numbers are 788, 400, 356, 858
The greatest common divisor of numbers 788, 400, 356, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 400, 356, 858 is 2.

1. What is the GCD of 788, 400, 356, 858?

GCD of given numbers 788, 400, 356, 858 is 2

2. How to calculate the greatest common divisor of 788, 400, 356, 858?

We can find the highest common divisor of 788, 400, 356, 858 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 788, 400, 356, 858 i.e 2.

3. How can I use the GCD of 788, 400, 356, 858Calculator?

Out the numbers 788, 400, 356, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.