GCD of 814, 692, 597, 165 Calculator

Given Input numbers are 814, 692, 597, 165

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (814, 692, 597, 165) = 1.

Given numbers are 814, 692, 597, 165

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 692 are 2 x 2 x 173

Prime factors of 597 are 3 x 199

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 814, 692, 597, 165

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

Apply this formula for all numbers.

Step1:

LCM(814, 692) = 281644

GCD(814, 692) = ( 814 x 692 ) / 281644

= 814 / 692

= 814

Step2:

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

= 2 / 597

= 2

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 814, 692, 597, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 997, 476, 767
• GCD of 347, 942, 994, 126
• GCD of 878, 653, 985, 573
• GCD of 888, 515, 451, 346
• GCD of 363, 977, 140, 731

Given numbers are 814, 692, 597, 165
The greatest common divisor of numbers 814, 692, 597, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 692, 597, 165 is 1.

1. What is the GCD of 814, 692, 597, 165?

GCD of given numbers 814, 692, 597, 165 is 1

2. How to calculate the greatest common divisor of 814, 692, 597, 165?

We can find the highest common divisor of 814, 692, 597, 165 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 814, 692, 597, 165 i.e 1.

3. How can I use the GCD of 814, 692, 597, 165Calculator?

Out the numbers 814, 692, 597, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.