GCD of 738, 549, 338, 624 Calculator

Given Input numbers are 738, 549, 338, 624

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (738, 549, 338, 624) = 1.

Given numbers are 738, 549, 338, 624

The list of prime factors of all numbers are

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

Prime factors of 549 are 3 x 3 x 61

Prime factors of 338 are 2 x 13 x 13

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Given numbers are 738, 549, 338, 624

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

Apply this formula for all numbers.

Step1:

LCM(738, 549) = 45018

GCD(738, 549) = ( 738 x 549 ) / 45018

= 738 / 549

= 738

Step2:

LCM(9, 338) = 3042

GCD(9, 338) = ( 9 x 338 ) / 3042

= 9 / 338

= 9

Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1

So, Greatest Common Divisor of 738, 549, 338, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 298, 619, 602
• GCD of 182, 300, 596, 622
• GCD of 768, 316, 288, 124
• GCD of 823, 197, 616, 786
• GCD of 237, 292, 851, 784

Given numbers are 738, 549, 338, 624
The greatest common divisor of numbers 738, 549, 338, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 549, 338, 624 is 1.

1. What is the GCD of 738, 549, 338, 624?

GCD of given numbers 738, 549, 338, 624 is 1

2. How to calculate the greatest common divisor of 738, 549, 338, 624?

We can find the highest common divisor of 738, 549, 338, 624 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, 549, 338, 624 i.e 1.

3. How can I use the GCD of 738, 549, 338, 624Calculator?

Out the numbers 738, 549, 338, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.