GCD of 900, 478, 280, 652 Calculator

Given Input numbers are 900, 478, 280, 652

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (900, 478, 280, 652) = 2.

Given numbers are 900, 478, 280, 652

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 478 are 2 x 239

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 900, 478, 280, 652 is 2.

Given numbers are 900, 478, 280, 652

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

Apply this formula for all numbers.

Step1:

LCM(900, 478) = 215100

GCD(900, 478) = ( 900 x 478 ) / 215100

= 900 / 478

= 900

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 900, 478, 280, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 584, 264, 230
• GCD of 185, 608, 807, 435
• GCD of 747, 660, 118, 300
• GCD of 277, 616, 699, 936
• GCD of 147, 871, 278, 750

Given numbers are 900, 478, 280, 652
The greatest common divisor of numbers 900, 478, 280, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 478, 280, 652 is 2.

1. What is the GCD of 900, 478, 280, 652?

GCD of given numbers 900, 478, 280, 652 is 2

2. How to calculate the greatest common divisor of 900, 478, 280, 652?

We can find the highest common divisor of 900, 478, 280, 652 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, 478, 280, 652 i.e 2.

3. How can I use the GCD of 900, 478, 280, 652Calculator?

Out the numbers 900, 478, 280, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.