GCD of 145, 600, 696, 506 Calculator

Given Input numbers are 145, 600, 696, 506

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (145, 600, 696, 506) = 1.

Given numbers are 145, 600, 696, 506

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 145, 600, 696, 506

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

Apply this formula for all numbers.

Step1:

LCM(145, 600) = 17400

GCD(145, 600) = ( 145 x 600 ) / 17400

= 145 / 600

= 145

Step2:

LCM(5, 696) = 3480

GCD(5, 696) = ( 5 x 696 ) / 3480

= 5 / 696

= 5

Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

So, Greatest Common Divisor of 145, 600, 696, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 361, 796, 731
• GCD of 393, 151, 243, 559
• GCD of 360, 111, 954, 362
• GCD of 997, 454, 603, 674
• GCD of 934, 523, 210, 560

Given numbers are 145, 600, 696, 506
The greatest common divisor of numbers 145, 600, 696, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 600, 696, 506 is 1.

1. What is the GCD of 145, 600, 696, 506?

GCD of given numbers 145, 600, 696, 506 is 1

2. How to calculate the greatest common divisor of 145, 600, 696, 506?

We can find the highest common divisor of 145, 600, 696, 506 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 145, 600, 696, 506 i.e 1.

3. How can I use the GCD of 145, 600, 696, 506Calculator?

Out the numbers 145, 600, 696, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.