GCD of 560, 825, 590, 552 Calculator

Given Input numbers are 560, 825, 590, 552

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (560, 825, 590, 552) = 1.

Given numbers are 560, 825, 590, 552

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 590 are 2 x 5 x 59

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

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

Given numbers are 560, 825, 590, 552

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

Apply this formula for all numbers.

Step1:

LCM(560, 825) = 92400

GCD(560, 825) = ( 560 x 825 ) / 92400

= 560 / 825

= 560

Step2:

LCM(5, 590) = 590

GCD(5, 590) = ( 5 x 590 ) / 590

= 5 / 590

= 5

Step3:

LCM(5, 552) = 2760

GCD(5, 552) = ( 5 x 552 ) / 2760

= 5 / 552

= 5

So, Greatest Common Divisor of 560, 825, 590, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 189, 516, 913
• GCD of 777, 105, 645, 866
• GCD of 850, 267, 979, 398
• GCD of 762, 767, 814, 317
• GCD of 213, 405, 787, 340

Given numbers are 560, 825, 590, 552
The greatest common divisor of numbers 560, 825, 590, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 825, 590, 552 is 1.

1. What is the GCD of 560, 825, 590, 552?

GCD of given numbers 560, 825, 590, 552 is 1

2. How to calculate the greatest common divisor of 560, 825, 590, 552?

We can find the highest common divisor of 560, 825, 590, 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 560, 825, 590, 552 i.e 1.

3. How can I use the GCD of 560, 825, 590, 552Calculator?

Out the numbers 560, 825, 590, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.