GCD of 722, 428, 658, 399 Calculator

Given Input numbers are 722, 428, 658, 399

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (722, 428, 658, 399) = 1.

Given numbers are 722, 428, 658, 399

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 428 are 2 x 2 x 107

Prime factors of 658 are 2 x 7 x 47

Prime factors of 399 are 3 x 7 x 19

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

Given numbers are 722, 428, 658, 399

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

Apply this formula for all numbers.

Step1:

LCM(722, 428) = 154508

GCD(722, 428) = ( 722 x 428 ) / 154508

= 722 / 428

= 722

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

= 2 / 399

= 2

So, Greatest Common Divisor of 722, 428, 658, 399 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 592, 322, 222
• GCD of 189, 258, 264, 392
• GCD of 352, 636, 157, 599
• GCD of 420, 168, 497, 409
• GCD of 892, 901, 231, 458

Given numbers are 722, 428, 658, 399
The greatest common divisor of numbers 722, 428, 658, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 428, 658, 399 is 1.

1. What is the GCD of 722, 428, 658, 399?

GCD of given numbers 722, 428, 658, 399 is 1

2. How to calculate the greatest common divisor of 722, 428, 658, 399?

We can find the highest common divisor of 722, 428, 658, 399 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, 428, 658, 399 i.e 1.

3. How can I use the GCD of 722, 428, 658, 399Calculator?

Out the numbers 722, 428, 658, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.