GCD of 855, 525, 889, 420 Calculator

Given Input numbers are 855, 525, 889, 420

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (855, 525, 889, 420) = 1.

Given numbers are 855, 525, 889, 420

The list of prime factors of all numbers are

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 889 are 7 x 127

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 855, 525, 889, 420

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

Apply this formula for all numbers.

Step1:

LCM(855, 525) = 29925

GCD(855, 525) = ( 855 x 525 ) / 29925

= 855 / 525

= 855

Step2:

LCM(15, 889) = 13335

GCD(15, 889) = ( 15 x 889 ) / 13335

= 15 / 889

= 15

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 855, 525, 889, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 797, 288, 186
• GCD of 780, 671, 463, 122
• GCD of 721, 608, 865, 921
• GCD of 400, 217, 432, 978
• GCD of 579, 184, 364, 756

Given numbers are 855, 525, 889, 420
The greatest common divisor of numbers 855, 525, 889, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 525, 889, 420 is 1.

1. What is the GCD of 855, 525, 889, 420?

GCD of given numbers 855, 525, 889, 420 is 1

2. How to calculate the greatest common divisor of 855, 525, 889, 420?

We can find the highest common divisor of 855, 525, 889, 420 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 855, 525, 889, 420 i.e 1.

3. How can I use the GCD of 855, 525, 889, 420Calculator?

Out the numbers 855, 525, 889, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.