GCD of 722, 400, 921, 558 Calculator

Given Input numbers are 722, 400, 921, 558

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

Divisors of 722 :

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

1, 2, 19, 38, 361, 722

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (722, 400, 921, 558) = 1.

Given numbers are 722, 400, 921, 558

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

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

Prime factors of 921 are 3 x 307

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 722, 400, 921, 558

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

Apply this formula for all numbers.

Step1:

LCM(722, 400) = 144400

GCD(722, 400) = ( 722 x 400 ) / 144400

= 722 / 400

= 722

Step2:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 722, 400, 921, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 422, 728, 531
• GCD of 929, 317, 105, 636
• GCD of 623, 600, 329, 206
• GCD of 283, 863, 672, 216
• GCD of 647, 484, 175, 654

Given numbers are 722, 400, 921, 558
The greatest common divisor of numbers 722, 400, 921, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 400, 921, 558 is 1.

1. What is the GCD of 722, 400, 921, 558?

GCD of given numbers 722, 400, 921, 558 is 1

2. How to calculate the greatest common divisor of 722, 400, 921, 558?

We can find the highest common divisor of 722, 400, 921, 558 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 722, 400, 921, 558 i.e 1.

3. How can I use the GCD of 722, 400, 921, 558Calculator?

Out the numbers 722, 400, 921, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.