GCD of 909, 222, 350, 400 Calculator

Given Input numbers are 909, 222, 350, 400

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (909, 222, 350, 400) = 1.

Given numbers are 909, 222, 350, 400

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 222 are 2 x 3 x 37

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 909, 222, 350, 400

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

Apply this formula for all numbers.

Step1:

LCM(909, 222) = 67266

GCD(909, 222) = ( 909 x 222 ) / 67266

= 909 / 222

= 909

Step2:

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

= 3 / 350

= 3

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 909, 222, 350, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 466, 806, 528
• GCD of 876, 431, 934, 123
• GCD of 119, 723, 400, 218
• GCD of 627, 331, 611, 257
• GCD of 459, 520, 312, 533

Given numbers are 909, 222, 350, 400
The greatest common divisor of numbers 909, 222, 350, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 222, 350, 400 is 1.

1. What is the GCD of 909, 222, 350, 400?

GCD of given numbers 909, 222, 350, 400 is 1

2. How to calculate the greatest common divisor of 909, 222, 350, 400?

We can find the highest common divisor of 909, 222, 350, 400 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 909, 222, 350, 400 i.e 1.

3. How can I use the GCD of 909, 222, 350, 400Calculator?

Out the numbers 909, 222, 350, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.