GCD of 649, 724, 404, 400 Calculator

Given Input numbers are 649, 724, 404, 400

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

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 (649, 724, 404, 400) = 1.

Given numbers are 649, 724, 404, 400

The list of prime factors of all numbers are

Prime factors of 649 are 11 x 59

Prime factors of 724 are 2 x 2 x 181

Prime factors of 404 are 2 x 2 x 101

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 649, 724, 404, 400

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

Apply this formula for all numbers.

Step1:

LCM(649, 724) = 469876

GCD(649, 724) = ( 649 x 724 ) / 469876

= 649 / 724

= 649

Step2:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 649, 724, 404, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 300, 730, 146
• GCD of 274, 866, 637, 429
• GCD of 373, 512, 416, 161
• GCD of 845, 162, 850, 924
• GCD of 872, 972, 841, 347

Given numbers are 649, 724, 404, 400
The greatest common divisor of numbers 649, 724, 404, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 649, 724, 404, 400 is 1.

1. What is the GCD of 649, 724, 404, 400?

GCD of given numbers 649, 724, 404, 400 is 1

2. How to calculate the greatest common divisor of 649, 724, 404, 400?

We can find the highest common divisor of 649, 724, 404, 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 649, 724, 404, 400 i.e 1.

3. How can I use the GCD of 649, 724, 404, 400Calculator?

Out the numbers 649, 724, 404, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.