GCD of 900, 940, 855, 428 Calculator

Given Input numbers are 900, 940, 855, 428

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (900, 940, 855, 428) = 1.

Given numbers are 900, 940, 855, 428

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 940 are 2 x 2 x 5 x 47

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 900, 940, 855, 428

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

Apply this formula for all numbers.

Step1:

LCM(900, 940) = 42300

GCD(900, 940) = ( 900 x 940 ) / 42300

= 900 / 940

= 900

Step2:

LCM(20, 855) = 3420

GCD(20, 855) = ( 20 x 855 ) / 3420

= 20 / 855

= 20

Step3:

LCM(5, 428) = 2140

GCD(5, 428) = ( 5 x 428 ) / 2140

= 5 / 428

= 5

So, Greatest Common Divisor of 900, 940, 855, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 655, 743, 536
• GCD of 846, 143, 461, 887
• GCD of 846, 134, 116, 727
• GCD of 318, 605, 904, 884
• GCD of 668, 667, 548, 513

Given numbers are 900, 940, 855, 428
The greatest common divisor of numbers 900, 940, 855, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 940, 855, 428 is 1.

1. What is the GCD of 900, 940, 855, 428?

GCD of given numbers 900, 940, 855, 428 is 1

2. How to calculate the greatest common divisor of 900, 940, 855, 428?

We can find the highest common divisor of 900, 940, 855, 428 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, 940, 855, 428 i.e 1.

3. How can I use the GCD of 900, 940, 855, 428Calculator?

Out the numbers 900, 940, 855, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.