GCD of 208, 742, 424, 549 Calculator

Given Input numbers are 208, 742, 424, 549

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 549 :

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

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (208, 742, 424, 549) = 1.

Given numbers are 208, 742, 424, 549

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 742 are 2 x 7 x 53

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 549 are 3 x 3 x 61

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

Given numbers are 208, 742, 424, 549

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

Apply this formula for all numbers.

Step1:

LCM(208, 742) = 77168

GCD(208, 742) = ( 208 x 742 ) / 77168

= 208 / 742

= 208

Step2:

LCM(2, 424) = 424

GCD(2, 424) = ( 2 x 424 ) / 424

= 2 / 424

= 2

Step3:

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

= 2 / 549

= 2

So, Greatest Common Divisor of 208, 742, 424, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 443, 989, 777
• GCD of 812, 593, 643, 262
• GCD of 847, 297, 590, 576
• GCD of 536, 813, 585, 749
• GCD of 971, 461, 787, 954

Given numbers are 208, 742, 424, 549
The greatest common divisor of numbers 208, 742, 424, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 742, 424, 549 is 1.

1. What is the GCD of 208, 742, 424, 549?

GCD of given numbers 208, 742, 424, 549 is 1

2. How to calculate the greatest common divisor of 208, 742, 424, 549?

We can find the highest common divisor of 208, 742, 424, 549 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 208, 742, 424, 549 i.e 1.

3. How can I use the GCD of 208, 742, 424, 549Calculator?

Out the numbers 208, 742, 424, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.