GCD of 900, 842, 849, 334 Calculator

Given Input numbers are 900, 842, 849, 334

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 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 849 :

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

1, 3, 283, 849

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (900, 842, 849, 334) = 1.

Given numbers are 900, 842, 849, 334

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 842 are 2 x 421

Prime factors of 849 are 3 x 283

Prime factors of 334 are 2 x 167

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

Given numbers are 900, 842, 849, 334

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

Apply this formula for all numbers.

Step1:

LCM(900, 842) = 378900

GCD(900, 842) = ( 900 x 842 ) / 378900

= 900 / 842

= 900

Step2:

LCM(2, 849) = 1698

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

= 2 / 849

= 2

Step3:

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

= 1 / 334

= 1

So, Greatest Common Divisor of 900, 842, 849, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 873, 910, 197
• GCD of 203, 571, 257, 664
• GCD of 905, 298, 970, 274
• GCD of 628, 621, 886, 277
• GCD of 630, 176, 202, 311

Given numbers are 900, 842, 849, 334
The greatest common divisor of numbers 900, 842, 849, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 842, 849, 334 is 1.

1. What is the GCD of 900, 842, 849, 334?

GCD of given numbers 900, 842, 849, 334 is 1

2. How to calculate the greatest common divisor of 900, 842, 849, 334?

We can find the highest common divisor of 900, 842, 849, 334 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, 842, 849, 334 i.e 1.

3. How can I use the GCD of 900, 842, 849, 334Calculator?

Out the numbers 900, 842, 849, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.