GCD of 164, 123, 725, 198 Calculator

Given Input numbers are 164, 123, 725, 198

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

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (164, 123, 725, 198) = 1.

Given numbers are 164, 123, 725, 198

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 123 are 3 x 41

Prime factors of 725 are 5 x 5 x 29

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 164, 123, 725, 198

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

Apply this formula for all numbers.

Step1:

LCM(164, 123) = 492

GCD(164, 123) = ( 164 x 123 ) / 492

= 164 / 123

= 164

Step2:

LCM(41, 725) = 29725

GCD(41, 725) = ( 41 x 725 ) / 29725

= 41 / 725

= 41

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 164, 123, 725, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 514, 436, 730
• GCD of 513, 611, 987, 441
• GCD of 817, 818, 332, 237
• GCD of 576, 174, 696, 116
• GCD of 330, 728, 552, 644

Given numbers are 164, 123, 725, 198
The greatest common divisor of numbers 164, 123, 725, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 123, 725, 198 is 1.

1. What is the GCD of 164, 123, 725, 198?

GCD of given numbers 164, 123, 725, 198 is 1

2. How to calculate the greatest common divisor of 164, 123, 725, 198?

We can find the highest common divisor of 164, 123, 725, 198 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 164, 123, 725, 198 i.e 1.

3. How can I use the GCD of 164, 123, 725, 198Calculator?

Out the numbers 164, 123, 725, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.