GCD of 400, 828, 61, 722 Calculator

Given Input numbers are 400, 828, 61, 722

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (400, 828, 61, 722) = 1.

Given numbers are 400, 828, 61, 722

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 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 61 are 61

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 400, 828, 61, 722

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

Apply this formula for all numbers.

Step1:

LCM(400, 828) = 82800

GCD(400, 828) = ( 400 x 828 ) / 82800

= 400 / 828

= 400

Step2:

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

= 4 / 61

= 4

Step3:

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

= 1 / 722

= 1

So, Greatest Common Divisor of 400, 828, 61, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 661, 79, 482
• GCD of 784, 716, 13, 589
• GCD of 699, 621, 54, 499
• GCD of 200, 712, 22, 444
• GCD of 576, 550, 96, 759

Given numbers are 400, 828, 61, 722
The greatest common divisor of numbers 400, 828, 61, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 828, 61, 722 is 1.

1. What is the GCD of 400, 828, 61, 722?

GCD of given numbers 400, 828, 61, 722 is 1

2. How to calculate the greatest common divisor of 400, 828, 61, 722?

We can find the highest common divisor of 400, 828, 61, 722 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, 828, 61, 722 i.e 1.

3. How can I use the GCD of 400, 828, 61, 722Calculator?

Out the numbers 400, 828, 61, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.