GCD of 552, 109, 434, 576 Calculator

Given Input numbers are 552, 109, 434, 576

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (552, 109, 434, 576) = 1.

Given numbers are 552, 109, 434, 576

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 109 are 109

Prime factors of 434 are 2 x 7 x 31

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 552, 109, 434, 576

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

Apply this formula for all numbers.

Step1:

LCM(552, 109) = 60168

GCD(552, 109) = ( 552 x 109 ) / 60168

= 552 / 109

= 552

Step2:

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

= 1 / 434

= 1

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 552, 109, 434, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 367, 211, 481
• GCD of 905, 397, 870, 474
• GCD of 142, 699, 358, 444
• GCD of 969, 809, 243, 802
• GCD of 626, 883, 512, 276

Given numbers are 552, 109, 434, 576
The greatest common divisor of numbers 552, 109, 434, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 109, 434, 576 is 1.

1. What is the GCD of 552, 109, 434, 576?

GCD of given numbers 552, 109, 434, 576 is 1

2. How to calculate the greatest common divisor of 552, 109, 434, 576?

We can find the highest common divisor of 552, 109, 434, 576 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 552, 109, 434, 576 i.e 1.

3. How can I use the GCD of 552, 109, 434, 576Calculator?

Out the numbers 552, 109, 434, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.