GCD of 900, 876, 85, 588 Calculator

Given Input numbers are 900, 876, 85, 588

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (900, 876, 85, 588) = 1.

Given numbers are 900, 876, 85, 588

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 85 are 5 x 17

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

Given numbers are 900, 876, 85, 588

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

Apply this formula for all numbers.

Step1:

LCM(900, 876) = 65700

GCD(900, 876) = ( 900 x 876 ) / 65700

= 900 / 876

= 900

Step2:

LCM(12, 85) = 1020

GCD(12, 85) = ( 12 x 85 ) / 1020

= 12 / 85

= 12

Step3:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1

So, Greatest Common Divisor of 900, 876, 85, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 225, 90, 106
• GCD of 825, 916, 24, 462
• GCD of 480, 426, 41, 133
• GCD of 827, 826, 97, 777
• GCD of 188, 271, 94, 270

Given numbers are 900, 876, 85, 588
The greatest common divisor of numbers 900, 876, 85, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 876, 85, 588 is 1.

1. What is the GCD of 900, 876, 85, 588?

GCD of given numbers 900, 876, 85, 588 is 1

2. How to calculate the greatest common divisor of 900, 876, 85, 588?

We can find the highest common divisor of 900, 876, 85, 588 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 900, 876, 85, 588 i.e 1.

3. How can I use the GCD of 900, 876, 85, 588Calculator?

Out the numbers 900, 876, 85, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.