GCD of 870, 210, 595, 972 Calculator

Given Input numbers are 870, 210, 595, 972

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

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (870, 210, 595, 972) = 1.

Given numbers are 870, 210, 595, 972

The list of prime factors of all numbers are

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

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 595 are 5 x 7 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 870, 210, 595, 972

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

Apply this formula for all numbers.

Step1:

LCM(870, 210) = 6090

GCD(870, 210) = ( 870 x 210 ) / 6090

= 870 / 210

= 870

Step2:

LCM(30, 595) = 3570

GCD(30, 595) = ( 30 x 595 ) / 3570

= 30 / 595

= 30

Step3:

LCM(5, 972) = 4860

GCD(5, 972) = ( 5 x 972 ) / 4860

= 5 / 972

= 5

So, Greatest Common Divisor of 870, 210, 595, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 725, 304, 693
• GCD of 464, 213, 698, 569
• GCD of 502, 108, 717, 888
• GCD of 515, 167, 556, 671
• GCD of 630, 891, 484, 592

Given numbers are 870, 210, 595, 972
The greatest common divisor of numbers 870, 210, 595, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 210, 595, 972 is 1.

1. What is the GCD of 870, 210, 595, 972?

GCD of given numbers 870, 210, 595, 972 is 1

2. How to calculate the greatest common divisor of 870, 210, 595, 972?

We can find the highest common divisor of 870, 210, 595, 972 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 870, 210, 595, 972 i.e 1.

3. How can I use the GCD of 870, 210, 595, 972Calculator?

Out the numbers 870, 210, 595, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.