GCD of 272, 332, 598, 689 Calculator

Given Input numbers are 272, 332, 598, 689

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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 (272, 332, 598, 689) = 1.

Given numbers are 272, 332, 598, 689

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 332 are 2 x 2 x 83

Prime factors of 598 are 2 x 13 x 23

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 272, 332, 598, 689

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

Apply this formula for all numbers.

Step1:

LCM(272, 332) = 22576

GCD(272, 332) = ( 272 x 332 ) / 22576

= 272 / 332

= 272

Step2:

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

= 4 / 598

= 4

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 272, 332, 598, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 147, 754, 498
• GCD of 850, 481, 462, 911
• GCD of 592, 659, 921, 971
• GCD of 490, 898, 138, 123
• GCD of 411, 381, 293, 137

Given numbers are 272, 332, 598, 689
The greatest common divisor of numbers 272, 332, 598, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 332, 598, 689 is 1.

1. What is the GCD of 272, 332, 598, 689?

GCD of given numbers 272, 332, 598, 689 is 1

2. How to calculate the greatest common divisor of 272, 332, 598, 689?

We can find the highest common divisor of 272, 332, 598, 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 272, 332, 598, 689 i.e 1.

3. How can I use the GCD of 272, 332, 598, 689Calculator?

Out the numbers 272, 332, 598, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.