GCD of 400, 286, 643, 264 Calculator

Given Input numbers are 400, 286, 643, 264

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (400, 286, 643, 264) = 1.

Given numbers are 400, 286, 643, 264

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 286 are 2 x 11 x 13

Prime factors of 643 are 643

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 400, 286, 643, 264

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

Apply this formula for all numbers.

Step1:

LCM(400, 286) = 57200

GCD(400, 286) = ( 400 x 286 ) / 57200

= 400 / 286

= 400

Step2:

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

= 2 / 643

= 2

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 400, 286, 643, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 558, 669, 100
• GCD of 545, 100, 119, 985
• GCD of 168, 614, 609, 687
• GCD of 574, 385, 969, 421
• GCD of 583, 740, 767, 156

Given numbers are 400, 286, 643, 264
The greatest common divisor of numbers 400, 286, 643, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 286, 643, 264 is 1.

1. What is the GCD of 400, 286, 643, 264?

GCD of given numbers 400, 286, 643, 264 is 1

2. How to calculate the greatest common divisor of 400, 286, 643, 264?

We can find the highest common divisor of 400, 286, 643, 264 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, 286, 643, 264 i.e 1.

3. How can I use the GCD of 400, 286, 643, 264Calculator?

Out the numbers 400, 286, 643, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.