GCD of 900, 885, 400, 105 Calculator

Given Input numbers are 900, 885, 400, 105

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 885 :

The positive integer divisors of 885 that completely divides 885 are.

1, 3, 5, 15, 59, 177, 295, 885

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (900, 885, 400, 105) = 5.

Given numbers are 900, 885, 400, 105

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 885 are 3 x 5 x 59

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

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 900, 885, 400, 105 is 5.

Given numbers are 900, 885, 400, 105

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

Apply this formula for all numbers.

Step1:

LCM(900, 885) = 53100

GCD(900, 885) = ( 900 x 885 ) / 53100

= 900 / 885

= 900

Step2:

LCM(15, 400) = 1200

GCD(15, 400) = ( 15 x 400 ) / 1200

= 15 / 400

= 15

Step3:

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

= 5 / 105

= 5

So, Greatest Common Divisor of 900, 885, 400, 105 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 919, 946, 401
• GCD of 792, 635, 503, 124
• GCD of 246, 718, 410, 987
• GCD of 827, 835, 563, 120
• GCD of 504, 446, 192, 899

Given numbers are 900, 885, 400, 105
The greatest common divisor of numbers 900, 885, 400, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 885, 400, 105 is 5.

1. What is the GCD of 900, 885, 400, 105?

GCD of given numbers 900, 885, 400, 105 is 5

2. How to calculate the greatest common divisor of 900, 885, 400, 105?

We can find the highest common divisor of 900, 885, 400, 105 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, 885, 400, 105 i.e 5.

3. How can I use the GCD of 900, 885, 400, 105Calculator?

Out the numbers 900, 885, 400, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.