GCD of 369, 102, 78, 164 Calculator

Given Input numbers are 369, 102, 78, 164

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (369, 102, 78, 164) = 1.

Given numbers are 369, 102, 78, 164

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 102 are 2 x 3 x 17

Prime factors of 78 are 2 x 3 x 13

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 369, 102, 78, 164

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

Apply this formula for all numbers.

Step1:

LCM(369, 102) = 12546

GCD(369, 102) = ( 369 x 102 ) / 12546

= 369 / 102

= 369

Step2:

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

= 3 / 78

= 3

Step3:

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

= 3 / 164

= 3

So, Greatest Common Divisor of 369, 102, 78, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 846, 82, 722
• GCD of 515, 172, 87, 951
• GCD of 786, 996, 85, 883
• GCD of 871, 453, 43, 580
• GCD of 336, 862, 90, 800

Given numbers are 369, 102, 78, 164
The greatest common divisor of numbers 369, 102, 78, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 102, 78, 164 is 1.

1. What is the GCD of 369, 102, 78, 164?

GCD of given numbers 369, 102, 78, 164 is 1

2. How to calculate the greatest common divisor of 369, 102, 78, 164?

We can find the highest common divisor of 369, 102, 78, 164 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 369, 102, 78, 164 i.e 1.

3. How can I use the GCD of 369, 102, 78, 164Calculator?

Out the numbers 369, 102, 78, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.