GCD of 722, 600, 401, 488 Calculator

Given Input numbers are 722, 600, 401, 488

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

GCD of numbers is the greatest common divisor

So, the GCD (722, 600, 401, 488) = 1.

Given numbers are 722, 600, 401, 488

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 401 are 401

Prime factors of 488 are 2 x 2 x 2 x 61

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

Given numbers are 722, 600, 401, 488

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

Apply this formula for all numbers.

Step1:

LCM(722, 600) = 216600

GCD(722, 600) = ( 722 x 600 ) / 216600

= 722 / 600

= 722

Step2:

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

= 2 / 401

= 2

Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1

So, Greatest Common Divisor of 722, 600, 401, 488 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 620, 250, 794
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Given numbers are 722, 600, 401, 488
The greatest common divisor of numbers 722, 600, 401, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 600, 401, 488 is 1.

1. What is the GCD of 722, 600, 401, 488?

GCD of given numbers 722, 600, 401, 488 is 1

2. How to calculate the greatest common divisor of 722, 600, 401, 488?

We can find the highest common divisor of 722, 600, 401, 488 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, 600, 401, 488 i.e 1.

3. How can I use the GCD of 722, 600, 401, 488Calculator?

Out the numbers 722, 600, 401, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.