GCD of 252, 870, 159, 509 Calculator

Given Input numbers are 252, 870, 159, 509

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (252, 870, 159, 509) = 1.

Given numbers are 252, 870, 159, 509

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 159 are 3 x 53

Prime factors of 509 are 509

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

Given numbers are 252, 870, 159, 509

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

Apply this formula for all numbers.

Step1:

LCM(252, 870) = 36540

GCD(252, 870) = ( 252 x 870 ) / 36540

= 252 / 870

= 252

Step2:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

Step3:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

So, Greatest Common Divisor of 252, 870, 159, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 502, 797, 289
• GCD of 821, 450, 523, 867
• GCD of 201, 624, 861, 643
• GCD of 519, 100, 834, 610
• GCD of 249, 744, 579, 675

Given numbers are 252, 870, 159, 509
The greatest common divisor of numbers 252, 870, 159, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 870, 159, 509 is 1.

1. What is the GCD of 252, 870, 159, 509?

GCD of given numbers 252, 870, 159, 509 is 1

2. How to calculate the greatest common divisor of 252, 870, 159, 509?

We can find the highest common divisor of 252, 870, 159, 509 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 252, 870, 159, 509 i.e 1.

3. How can I use the GCD of 252, 870, 159, 509Calculator?

Out the numbers 252, 870, 159, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.