GCD of 900, 547, 408, 967 Calculator

Given Input numbers are 900, 547, 408, 967

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 547 :

The positive integer divisors of 547 that completely divides 547 are.

1, 547

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (900, 547, 408, 967) = 1.

Given numbers are 900, 547, 408, 967

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 547 are 547

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 967 are 967

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

Given numbers are 900, 547, 408, 967

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

Apply this formula for all numbers.

Step1:

LCM(900, 547) = 492300

GCD(900, 547) = ( 900 x 547 ) / 492300

= 900 / 547

= 900

Step2:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1

So, Greatest Common Divisor of 900, 547, 408, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 640, 185, 997
• GCD of 484, 271, 794, 337
• GCD of 604, 805, 803, 237
• GCD of 449, 567, 634, 185
• GCD of 915, 731, 661, 291

Given numbers are 900, 547, 408, 967
The greatest common divisor of numbers 900, 547, 408, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 547, 408, 967 is 1.

1. What is the GCD of 900, 547, 408, 967?

GCD of given numbers 900, 547, 408, 967 is 1

2. How to calculate the greatest common divisor of 900, 547, 408, 967?

We can find the highest common divisor of 900, 547, 408, 967 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, 547, 408, 967 i.e 1.

3. How can I use the GCD of 900, 547, 408, 967Calculator?

Out the numbers 900, 547, 408, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.