GCD of 400, 276, 585, 840 Calculator

Given Input numbers are 400, 276, 585, 840

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

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (400, 276, 585, 840) = 1.

Given numbers are 400, 276, 585, 840

The list of prime factors of all numbers are

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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 276, 585, 840

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

Apply this formula for all numbers.

Step1:

LCM(400, 276) = 27600

GCD(400, 276) = ( 400 x 276 ) / 27600

= 400 / 276

= 400

Step2:

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

= 4 / 585

= 4

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 400, 276, 585, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 443, 509, 624
• GCD of 281, 350, 123, 105
• GCD of 705, 322, 119, 749
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• GCD of 473, 256, 699, 140

Given numbers are 400, 276, 585, 840
The greatest common divisor of numbers 400, 276, 585, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 276, 585, 840 is 1.

1. What is the GCD of 400, 276, 585, 840?

GCD of given numbers 400, 276, 585, 840 is 1

2. How to calculate the greatest common divisor of 400, 276, 585, 840?

We can find the highest common divisor of 400, 276, 585, 840 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 400, 276, 585, 840 i.e 1.

3. How can I use the GCD of 400, 276, 585, 840Calculator?

Out the numbers 400, 276, 585, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.