GCD of 355, 142, 800, 870 Calculator

Given Input numbers are 355, 142, 800, 870

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

Divisors of 355 :

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

1, 5, 71, 355

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

GCD of numbers is the greatest common divisor

So, the GCD (355, 142, 800, 870) = 1.

Given numbers are 355, 142, 800, 870

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 142 are 2 x 71

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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

Given numbers are 355, 142, 800, 870

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

Apply this formula for all numbers.

Step1:

LCM(355, 142) = 710

GCD(355, 142) = ( 355 x 142 ) / 710

= 355 / 142

= 355

Step2:

LCM(71, 800) = 56800

GCD(71, 800) = ( 71 x 800 ) / 56800

= 71 / 800

= 71

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 355, 142, 800, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 346, 740, 351
• GCD of 248, 467, 942, 827
• GCD of 764, 408, 656, 866
• GCD of 374, 698, 631, 105
• GCD of 341, 462, 822, 791

Given numbers are 355, 142, 800, 870
The greatest common divisor of numbers 355, 142, 800, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 142, 800, 870 is 1.

1. What is the GCD of 355, 142, 800, 870?

GCD of given numbers 355, 142, 800, 870 is 1

2. How to calculate the greatest common divisor of 355, 142, 800, 870?

We can find the highest common divisor of 355, 142, 800, 870 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 355, 142, 800, 870 i.e 1.

3. How can I use the GCD of 355, 142, 800, 870Calculator?

Out the numbers 355, 142, 800, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.