GCD of 562, 684, 940, 400 Calculator

Given Input numbers are 562, 684, 940, 400

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

GCD of numbers is the greatest common divisor

So, the GCD (562, 684, 940, 400) = 2.

Given numbers are 562, 684, 940, 400

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 940 are 2 x 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 562, 684, 940, 400 is 2.

Given numbers are 562, 684, 940, 400

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

Apply this formula for all numbers.

Step1:

LCM(562, 684) = 192204

GCD(562, 684) = ( 562 x 684 ) / 192204

= 562 / 684

= 562

Step2:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 562, 684, 940, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 784, 150, 409
• GCD of 933, 739, 251, 334
• GCD of 488, 497, 374, 403
• GCD of 239, 957, 608, 463
• GCD of 560, 112, 606, 804

Given numbers are 562, 684, 940, 400
The greatest common divisor of numbers 562, 684, 940, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 684, 940, 400 is 2.

1. What is the GCD of 562, 684, 940, 400?

GCD of given numbers 562, 684, 940, 400 is 2

2. How to calculate the greatest common divisor of 562, 684, 940, 400?

We can find the highest common divisor of 562, 684, 940, 400 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 562, 684, 940, 400 i.e 2.

3. How can I use the GCD of 562, 684, 940, 400Calculator?

Out the numbers 562, 684, 940, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.