GCD of 724, 213, 274, 400 Calculator

Given Input numbers are 724, 213, 274, 400

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 213, 274, 400) = 1.

Given numbers are 724, 213, 274, 400

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 213 are 3 x 71

Prime factors of 274 are 2 x 137

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

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

Given numbers are 724, 213, 274, 400

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

Apply this formula for all numbers.

Step1:

LCM(724, 213) = 154212

GCD(724, 213) = ( 724 x 213 ) / 154212

= 724 / 213

= 724

Step2:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 724, 213, 274, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 679, 861, 633
• GCD of 106, 533, 971, 973
• GCD of 441, 840, 184, 658
• GCD of 609, 639, 469, 211
• GCD of 624, 224, 225, 458

Given numbers are 724, 213, 274, 400
The greatest common divisor of numbers 724, 213, 274, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 213, 274, 400 is 1.

1. What is the GCD of 724, 213, 274, 400?

GCD of given numbers 724, 213, 274, 400 is 1

2. How to calculate the greatest common divisor of 724, 213, 274, 400?

We can find the highest common divisor of 724, 213, 274, 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 724, 213, 274, 400 i.e 1.

3. How can I use the GCD of 724, 213, 274, 400Calculator?

Out the numbers 724, 213, 274, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.