GCD of 900, 460, 987, 428 Calculator

Given Input numbers are 900, 460, 987, 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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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, 460, 987, 428) = 1.

Given numbers are 900, 460, 987, 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 460 are 2 x 2 x 5 x 23

Prime factors of 987 are 3 x 7 x 47

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, 460, 987, 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, 460) = 20700

GCD(900, 460) = ( 900 x 460 ) / 20700

= 900 / 460

= 900

Step2:

LCM(20, 987) = 19740

GCD(20, 987) = ( 20 x 987 ) / 19740

= 20 / 987

= 20

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 900, 460, 987, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 317, 661, 149
• GCD of 776, 522, 366, 550
• GCD of 539, 924, 487, 985
• GCD of 158, 416, 225, 967
• GCD of 153, 249, 201, 690

Given numbers are 900, 460, 987, 428
The greatest common divisor of numbers 900, 460, 987, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 460, 987, 428 is 1.

1. What is the GCD of 900, 460, 987, 428?

GCD of given numbers 900, 460, 987, 428 is 1

2. How to calculate the greatest common divisor of 900, 460, 987, 428?

We can find the highest common divisor of 900, 460, 987, 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, 460, 987, 428 i.e 1.

3. How can I use the GCD of 900, 460, 987, 428Calculator?

Out the numbers 900, 460, 987, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.