GCD of 954, 462, 361, 900 Calculator

Given Input numbers are 954, 462, 361, 900

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

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 (954, 462, 361, 900) = 1.

Given numbers are 954, 462, 361, 900

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 361 are 19 x 19

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 954, 462, 361, 900

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

Apply this formula for all numbers.

Step1:

LCM(954, 462) = 73458

GCD(954, 462) = ( 954 x 462 ) / 73458

= 954 / 462

= 954

Step2:

LCM(6, 361) = 2166

GCD(6, 361) = ( 6 x 361 ) / 2166

= 6 / 361

= 6

Step3:

LCM(1, 900) = 900

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

= 1 / 900

= 1

So, Greatest Common Divisor of 954, 462, 361, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 914, 693, 144
• GCD of 596, 241, 492, 860
• GCD of 667, 569, 429, 131
• GCD of 781, 226, 505, 653
• GCD of 354, 664, 400, 294

Given numbers are 954, 462, 361, 900
The greatest common divisor of numbers 954, 462, 361, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 462, 361, 900 is 1.

1. What is the GCD of 954, 462, 361, 900?

GCD of given numbers 954, 462, 361, 900 is 1

2. How to calculate the greatest common divisor of 954, 462, 361, 900?

We can find the highest common divisor of 954, 462, 361, 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 954, 462, 361, 900 i.e 1.

3. How can I use the GCD of 954, 462, 361, 900Calculator?

Out the numbers 954, 462, 361, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.