GCD of 552, 712, 188, 460 Calculator

Given Input numbers are 552, 712, 188, 460

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (552, 712, 188, 460) = 4.

Given numbers are 552, 712, 188, 460

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 712 are 2 x 2 x 2 x 89

Prime factors of 188 are 2 x 2 x 47

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2²

Therefore, GCD of 552, 712, 188, 460 is 4.

Given numbers are 552, 712, 188, 460

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

Apply this formula for all numbers.

Step1:

LCM(552, 712) = 49128

GCD(552, 712) = ( 552 x 712 ) / 49128

= 552 / 712

= 552

Step2:

LCM(8, 188) = 376

GCD(8, 188) = ( 8 x 188 ) / 376

= 8 / 188

= 8

Step3:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

So, Greatest Common Divisor of 552, 712, 188, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 539, 226, 424
• GCD of 982, 711, 866, 115
• GCD of 674, 770, 163, 811
• GCD of 652, 332, 447, 835
• GCD of 956, 113, 716, 323

Given numbers are 552, 712, 188, 460
The greatest common divisor of numbers 552, 712, 188, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 712, 188, 460 is 4.

1. What is the GCD of 552, 712, 188, 460?

GCD of given numbers 552, 712, 188, 460 is 4

2. How to calculate the greatest common divisor of 552, 712, 188, 460?

We can find the highest common divisor of 552, 712, 188, 460 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, 712, 188, 460 i.e 4.

3. How can I use the GCD of 552, 712, 188, 460Calculator?

Out the numbers 552, 712, 188, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.