GCD of 424, 574, 997, 689 Calculator

Given Input numbers are 424, 574, 997, 689

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (424, 574, 997, 689) = 1.

Given numbers are 424, 574, 997, 689

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 574 are 2 x 7 x 41

Prime factors of 997 are 997

Prime factors of 689 are 13 x 53

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

Given numbers are 424, 574, 997, 689

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

Apply this formula for all numbers.

Step1:

LCM(424, 574) = 121688

GCD(424, 574) = ( 424 x 574 ) / 121688

= 424 / 574

= 424

Step2:

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

= 2 / 997

= 2

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 424, 574, 997, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 999, 710, 811
• GCD of 265, 445, 443, 470
• GCD of 115, 216, 573, 564
• GCD of 404, 357, 122, 483
• GCD of 714, 751, 140, 146

Given numbers are 424, 574, 997, 689
The greatest common divisor of numbers 424, 574, 997, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 574, 997, 689 is 1.

1. What is the GCD of 424, 574, 997, 689?

GCD of given numbers 424, 574, 997, 689 is 1

2. How to calculate the greatest common divisor of 424, 574, 997, 689?

We can find the highest common divisor of 424, 574, 997, 689 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 424, 574, 997, 689 i.e 1.

3. How can I use the GCD of 424, 574, 997, 689Calculator?

Out the numbers 424, 574, 997, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.