GCD of 985, 420, 816, 900 Calculator

Given Input numbers are 985, 420, 816, 900

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

GCD of numbers is the greatest common divisor

So, the GCD (985, 420, 816, 900) = 1.

Given numbers are 985, 420, 816, 900

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

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

Given numbers are 985, 420, 816, 900

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

Apply this formula for all numbers.

Step1:

LCM(985, 420) = 82740

GCD(985, 420) = ( 985 x 420 ) / 82740

= 985 / 420

= 985

Step2:

LCM(5, 816) = 4080

GCD(5, 816) = ( 5 x 816 ) / 4080

= 5 / 816

= 5

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 985, 420, 816, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 412, 134, 995
• GCD of 407, 181, 534, 632
• GCD of 232, 705, 136, 950
• GCD of 831, 700, 921, 192
• GCD of 908, 158, 534, 734

Given numbers are 985, 420, 816, 900
The greatest common divisor of numbers 985, 420, 816, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 420, 816, 900 is 1.

1. What is the GCD of 985, 420, 816, 900?

GCD of given numbers 985, 420, 816, 900 is 1

2. How to calculate the greatest common divisor of 985, 420, 816, 900?

We can find the highest common divisor of 985, 420, 816, 900 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 985, 420, 816, 900 i.e 1.

3. How can I use the GCD of 985, 420, 816, 900Calculator?

Out the numbers 985, 420, 816, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.