GCD of 759, 654, 372, 552 Calculator

Given Input numbers are 759, 654, 372, 552

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

GCD of numbers is the greatest common divisor

So, the GCD (759, 654, 372, 552) = 3.

Given numbers are 759, 654, 372, 552

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 654 are 2 x 3 x 109

Prime factors of 372 are 2 x 2 x 3 x 31

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

The highest common occurrence is 3¹

Therefore, GCD of 759, 654, 372, 552 is 3.

Given numbers are 759, 654, 372, 552

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

Apply this formula for all numbers.

Step1:

LCM(759, 654) = 165462

GCD(759, 654) = ( 759 x 654 ) / 165462

= 759 / 654

= 759

Step2:

LCM(3, 372) = 372

GCD(3, 372) = ( 3 x 372 ) / 372

= 3 / 372

= 3

Step3:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 759, 654, 372, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 407, 274, 957
• GCD of 333, 744, 759, 474
• GCD of 250, 289, 775, 243
• GCD of 645, 905, 742, 699
• GCD of 800, 461, 798, 353

Given numbers are 759, 654, 372, 552
The greatest common divisor of numbers 759, 654, 372, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 654, 372, 552 is 3.

1. What is the GCD of 759, 654, 372, 552?

GCD of given numbers 759, 654, 372, 552 is 3

2. How to calculate the greatest common divisor of 759, 654, 372, 552?

We can find the highest common divisor of 759, 654, 372, 552 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 759, 654, 372, 552 i.e 3.

3. How can I use the GCD of 759, 654, 372, 552Calculator?

Out the numbers 759, 654, 372, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.