GCD of 690, 600, 796, 171 Calculator

Given Input numbers are 690, 600, 796, 171

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (690, 600, 796, 171) = 1.

Given numbers are 690, 600, 796, 171

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

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

Prime factors of 796 are 2 x 2 x 199

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 690, 600, 796, 171

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

Apply this formula for all numbers.

Step1:

LCM(690, 600) = 13800

GCD(690, 600) = ( 690 x 600 ) / 13800

= 690 / 600

= 690

Step2:

LCM(30, 796) = 11940

GCD(30, 796) = ( 30 x 796 ) / 11940

= 30 / 796

= 30

Step3:

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

= 2 / 171

= 2

So, Greatest Common Divisor of 690, 600, 796, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 303, 541, 788
• GCD of 821, 639, 186, 398
• GCD of 189, 888, 267, 405
• GCD of 404, 541, 681, 360
• GCD of 964, 112, 579, 977

Given numbers are 690, 600, 796, 171
The greatest common divisor of numbers 690, 600, 796, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 600, 796, 171 is 1.

1. What is the GCD of 690, 600, 796, 171?

GCD of given numbers 690, 600, 796, 171 is 1

2. How to calculate the greatest common divisor of 690, 600, 796, 171?

We can find the highest common divisor of 690, 600, 796, 171 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 690, 600, 796, 171 i.e 1.

3. How can I use the GCD of 690, 600, 796, 171Calculator?

Out the numbers 690, 600, 796, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.