GCD of 509, 961, 508, 695 Calculator

Given Input numbers are 509, 961, 508, 695

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

GCD of numbers is the greatest common divisor

So, the GCD (509, 961, 508, 695) = 1.

Given numbers are 509, 961, 508, 695

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 961 are 31 x 31

Prime factors of 508 are 2 x 2 x 127

Prime factors of 695 are 5 x 139

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

Given numbers are 509, 961, 508, 695

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

Apply this formula for all numbers.

Step1:

LCM(509, 961) = 489149

GCD(509, 961) = ( 509 x 961 ) / 489149

= 509 / 961

= 509

Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

Step3:

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

= 1 / 695

= 1

So, Greatest Common Divisor of 509, 961, 508, 695 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 727, 585, 949
• GCD of 158, 201, 156, 459
• GCD of 534, 107, 415, 910
• GCD of 457, 530, 482, 839
• GCD of 140, 900, 579, 879

Given numbers are 509, 961, 508, 695
The greatest common divisor of numbers 509, 961, 508, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 961, 508, 695 is 1.

1. What is the GCD of 509, 961, 508, 695?

GCD of given numbers 509, 961, 508, 695 is 1

2. How to calculate the greatest common divisor of 509, 961, 508, 695?

We can find the highest common divisor of 509, 961, 508, 695 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 509, 961, 508, 695 i.e 1.

3. How can I use the GCD of 509, 961, 508, 695Calculator?

Out the numbers 509, 961, 508, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.