GCD of 410, 400, 732, 749 Calculator

Given Input numbers are 410, 400, 732, 749

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

Divisors of 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (410, 400, 732, 749) = 1.

Given numbers are 410, 400, 732, 749

The list of prime factors of all numbers are

Prime factors of 410 are 2 x 5 x 41

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 749 are 7 x 107

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

Given numbers are 410, 400, 732, 749

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

Apply this formula for all numbers.

Step1:

LCM(410, 400) = 16400

GCD(410, 400) = ( 410 x 400 ) / 16400

= 410 / 400

= 410

Step2:

LCM(10, 732) = 3660

GCD(10, 732) = ( 10 x 732 ) / 3660

= 10 / 732

= 10

Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

So, Greatest Common Divisor of 410, 400, 732, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 449, 806, 199
• GCD of 654, 733, 853, 464
• GCD of 327, 207, 606, 816
• GCD of 255, 697, 209, 101
• GCD of 766, 263, 685, 381

Given numbers are 410, 400, 732, 749
The greatest common divisor of numbers 410, 400, 732, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 410, 400, 732, 749 is 1.

1. What is the GCD of 410, 400, 732, 749?

GCD of given numbers 410, 400, 732, 749 is 1

2. How to calculate the greatest common divisor of 410, 400, 732, 749?

We can find the highest common divisor of 410, 400, 732, 749 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 410, 400, 732, 749 i.e 1.

3. How can I use the GCD of 410, 400, 732, 749Calculator?

Out the numbers 410, 400, 732, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.