GCD of 900, 400, 560, 403 Calculator

Given Input numbers are 900, 400, 560, 403

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 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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 403 :

The positive integer divisors of 403 that completely divides 403 are.

1, 13, 31, 403

GCD of numbers is the greatest common divisor

So, the GCD (900, 400, 560, 403) = 1.

Given numbers are 900, 400, 560, 403

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 403 are 13 x 31

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

Given numbers are 900, 400, 560, 403

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

Apply this formula for all numbers.

Step1:

LCM(900, 400) = 3600

GCD(900, 400) = ( 900 x 400 ) / 3600

= 900 / 400

= 900

Step2:

LCM(100, 560) = 2800

GCD(100, 560) = ( 100 x 560 ) / 2800

= 100 / 560

= 100

Step3:

LCM(20, 403) = 8060

GCD(20, 403) = ( 20 x 403 ) / 8060

= 20 / 403

= 20

So, Greatest Common Divisor of 900, 400, 560, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 202, 423, 771
• GCD of 620, 202, 400, 650
• GCD of 119, 188, 927, 105
• GCD of 120, 410, 875, 460
• GCD of 372, 801, 494, 689

Given numbers are 900, 400, 560, 403
The greatest common divisor of numbers 900, 400, 560, 403 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 400, 560, 403 is 1.

1. What is the GCD of 900, 400, 560, 403?

GCD of given numbers 900, 400, 560, 403 is 1

2. How to calculate the greatest common divisor of 900, 400, 560, 403?

We can find the highest common divisor of 900, 400, 560, 403 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, 400, 560, 403 i.e 1.

3. How can I use the GCD of 900, 400, 560, 403Calculator?

Out the numbers 900, 400, 560, 403 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.