GCD of 362, 900, 849, 987 Calculator

Given Input numbers are 362, 900, 849, 987

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (362, 900, 849, 987) = 1.

Given numbers are 362, 900, 849, 987

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

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

Prime factors of 849 are 3 x 283

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 362, 900, 849, 987

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

Apply this formula for all numbers.

Step1:

LCM(362, 900) = 162900

GCD(362, 900) = ( 362 x 900 ) / 162900

= 362 / 900

= 362

Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 362, 900, 849, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 970, 692, 417
• GCD of 230, 135, 367, 895
• GCD of 831, 578, 424, 979
• GCD of 346, 277, 977, 405
• GCD of 686, 168, 271, 286

Given numbers are 362, 900, 849, 987
The greatest common divisor of numbers 362, 900, 849, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 900, 849, 987 is 1.

1. What is the GCD of 362, 900, 849, 987?

GCD of given numbers 362, 900, 849, 987 is 1

2. How to calculate the greatest common divisor of 362, 900, 849, 987?

We can find the highest common divisor of 362, 900, 849, 987 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 362, 900, 849, 987 i.e 1.

3. How can I use the GCD of 362, 900, 849, 987Calculator?

Out the numbers 362, 900, 849, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.