GCD of 598, 689, 117, 162 Calculator

Given Input numbers are 598, 689, 117, 162

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

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (598, 689, 117, 162) = 1.

Given numbers are 598, 689, 117, 162

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 689 are 13 x 53

Prime factors of 117 are 3 x 3 x 13

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 598, 689, 117, 162

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

Apply this formula for all numbers.

Step1:

LCM(598, 689) = 31694

GCD(598, 689) = ( 598 x 689 ) / 31694

= 598 / 689

= 598

Step2:

LCM(13, 117) = 117

GCD(13, 117) = ( 13 x 117 ) / 117

= 13 / 117

= 13

Step3:

LCM(13, 162) = 2106

GCD(13, 162) = ( 13 x 162 ) / 2106

= 13 / 162

= 13

So, Greatest Common Divisor of 598, 689, 117, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 290, 451, 314
• GCD of 503, 258, 169, 757
• GCD of 250, 802, 399, 822
• GCD of 299, 946, 899, 864
• GCD of 249, 626, 309, 527

Given numbers are 598, 689, 117, 162
The greatest common divisor of numbers 598, 689, 117, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 689, 117, 162 is 1.

1. What is the GCD of 598, 689, 117, 162?

GCD of given numbers 598, 689, 117, 162 is 1

2. How to calculate the greatest common divisor of 598, 689, 117, 162?

We can find the highest common divisor of 598, 689, 117, 162 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 598, 689, 117, 162 i.e 1.

3. How can I use the GCD of 598, 689, 117, 162Calculator?

Out the numbers 598, 689, 117, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.