GCD of 870, 410, 355, 361 Calculator

Given Input numbers are 870, 410, 355, 361

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (870, 410, 355, 361) = 1.

Given numbers are 870, 410, 355, 361

The list of prime factors of all numbers are

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

Prime factors of 410 are 2 x 5 x 41

Prime factors of 355 are 5 x 71

Prime factors of 361 are 19 x 19

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

Given numbers are 870, 410, 355, 361

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

Apply this formula for all numbers.

Step1:

LCM(870, 410) = 35670

GCD(870, 410) = ( 870 x 410 ) / 35670

= 870 / 410

= 870

Step2:

LCM(10, 355) = 710

GCD(10, 355) = ( 10 x 355 ) / 710

= 10 / 355

= 10

Step3:

LCM(5, 361) = 1805

GCD(5, 361) = ( 5 x 361 ) / 1805

= 5 / 361

= 5

So, Greatest Common Divisor of 870, 410, 355, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 411, 495, 900
• GCD of 631, 327, 130, 497
• GCD of 536, 223, 503, 774
• GCD of 524, 298, 700, 891
• GCD of 821, 272, 193, 200

Given numbers are 870, 410, 355, 361
The greatest common divisor of numbers 870, 410, 355, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 410, 355, 361 is 1.

1. What is the GCD of 870, 410, 355, 361?

GCD of given numbers 870, 410, 355, 361 is 1

2. How to calculate the greatest common divisor of 870, 410, 355, 361?

We can find the highest common divisor of 870, 410, 355, 361 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, 410, 355, 361 i.e 1.

3. How can I use the GCD of 870, 410, 355, 361Calculator?

Out the numbers 870, 410, 355, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.