GCD of 436, 400, 552, 358 Calculator

Given Input numbers are 436, 400, 552, 358

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

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (436, 400, 552, 358) = 2.

Given numbers are 436, 400, 552, 358

The list of prime factors of all numbers are

Prime factors of 436 are 2 x 2 x 109

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 436, 400, 552, 358 is 2.

Given numbers are 436, 400, 552, 358

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

Apply this formula for all numbers.

Step1:

LCM(436, 400) = 43600

GCD(436, 400) = ( 436 x 400 ) / 43600

= 436 / 400

= 436

Step2:

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

= 4 / 552

= 4

Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

So, Greatest Common Divisor of 436, 400, 552, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 558, 821, 713
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Given numbers are 436, 400, 552, 358
The greatest common divisor of numbers 436, 400, 552, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 436, 400, 552, 358 is 2.

1. What is the GCD of 436, 400, 552, 358?

GCD of given numbers 436, 400, 552, 358 is 2

2. How to calculate the greatest common divisor of 436, 400, 552, 358?

We can find the highest common divisor of 436, 400, 552, 358 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 436, 400, 552, 358 i.e 2.

3. How can I use the GCD of 436, 400, 552, 358Calculator?

Out the numbers 436, 400, 552, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.