GCD of 738, 416, 18, 653 Calculator

Given Input numbers are 738, 416, 18, 653

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

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 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

GCD of numbers is the greatest common divisor

So, the GCD (738, 416, 18, 653) = 1.

Given numbers are 738, 416, 18, 653

The list of prime factors of all numbers are

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

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 18 are 2 x 3 x 3

Prime factors of 653 are 653

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

Given numbers are 738, 416, 18, 653

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

Apply this formula for all numbers.

Step1:

LCM(738, 416) = 153504

GCD(738, 416) = ( 738 x 416 ) / 153504

= 738 / 416

= 738

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

Step3:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

So, Greatest Common Divisor of 738, 416, 18, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 266, 483, 45, 499
• GCD of 857, 471, 20, 325
• GCD of 693, 569, 42, 147
• GCD of 959, 528, 53, 713
• GCD of 952, 479, 28, 685

Given numbers are 738, 416, 18, 653
The greatest common divisor of numbers 738, 416, 18, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 416, 18, 653 is 1.

1. What is the GCD of 738, 416, 18, 653?

GCD of given numbers 738, 416, 18, 653 is 1

2. How to calculate the greatest common divisor of 738, 416, 18, 653?

We can find the highest common divisor of 738, 416, 18, 653 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 738, 416, 18, 653 i.e 1.

3. How can I use the GCD of 738, 416, 18, 653Calculator?

Out the numbers 738, 416, 18, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.