GCD of 169, 738, 456, 198 Calculator

Given Input numbers are 169, 738, 456, 198

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 (169, 738, 456, 198) = 1.

Given numbers are 169, 738, 456, 198

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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 169, 738, 456, 198

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

Apply this formula for all numbers.

Step1:

LCM(169, 738) = 124722

GCD(169, 738) = ( 169 x 738 ) / 124722

= 169 / 738

= 169

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 169, 738, 456, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 721, 258, 633
• GCD of 737, 424, 206, 927
• GCD of 749, 863, 637, 911
• GCD of 420, 889, 615, 801
• GCD of 487, 229, 893, 482

Given numbers are 169, 738, 456, 198
The greatest common divisor of numbers 169, 738, 456, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 738, 456, 198 is 1.

1. What is the GCD of 169, 738, 456, 198?

GCD of given numbers 169, 738, 456, 198 is 1

2. How to calculate the greatest common divisor of 169, 738, 456, 198?

We can find the highest common divisor of 169, 738, 456, 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 169, 738, 456, 198 i.e 1.

3. How can I use the GCD of 169, 738, 456, 198Calculator?

Out the numbers 169, 738, 456, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.