GCD of 274, 400, 599, 264 Calculator

Given Input numbers are 274, 400, 599, 264

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

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 599 :

The positive integer divisors of 599 that completely divides 599 are.

1, 599

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 (274, 400, 599, 264) = 1.

Given numbers are 274, 400, 599, 264

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

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

Prime factors of 599 are 599

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 274, 400, 599, 264

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

Apply this formula for all numbers.

Step1:

LCM(274, 400) = 54800

GCD(274, 400) = ( 274 x 400 ) / 54800

= 274 / 400

= 274

Step2:

LCM(2, 599) = 1198

GCD(2, 599) = ( 2 x 599 ) / 1198

= 2 / 599

= 2

Step3:

LCM(1, 264) = 264

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

= 1 / 264

= 1

So, Greatest Common Divisor of 274, 400, 599, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 585, 635, 198
• GCD of 123, 327, 530, 902
• GCD of 516, 913, 361, 736
• GCD of 552, 308, 912, 299
• GCD of 151, 608, 604, 830

Given numbers are 274, 400, 599, 264
The greatest common divisor of numbers 274, 400, 599, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 400, 599, 264 is 1.

1. What is the GCD of 274, 400, 599, 264?

GCD of given numbers 274, 400, 599, 264 is 1

2. How to calculate the greatest common divisor of 274, 400, 599, 264?

We can find the highest common divisor of 274, 400, 599, 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 274, 400, 599, 264 i.e 1.

3. How can I use the GCD of 274, 400, 599, 264Calculator?

Out the numbers 274, 400, 599, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.