GCD of 900, 698, 272, 180 Calculator

Given Input numbers are 900, 698, 272, 180

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (900, 698, 272, 180) = 2.

Given numbers are 900, 698, 272, 180

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 698 are 2 x 349

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 900, 698, 272, 180 is 2.

Given numbers are 900, 698, 272, 180

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

Apply this formula for all numbers.

Step1:

LCM(900, 698) = 314100

GCD(900, 698) = ( 900 x 698 ) / 314100

= 900 / 698

= 900

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 900, 698, 272, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 106, 388, 612
• GCD of 816, 911, 784, 432
• GCD of 669, 506, 442, 126
• GCD of 874, 392, 408, 602
• GCD of 989, 735, 943, 884

Given numbers are 900, 698, 272, 180
The greatest common divisor of numbers 900, 698, 272, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 698, 272, 180 is 2.

1. What is the GCD of 900, 698, 272, 180?

GCD of given numbers 900, 698, 272, 180 is 2

2. How to calculate the greatest common divisor of 900, 698, 272, 180?

We can find the highest common divisor of 900, 698, 272, 180 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, 698, 272, 180 i.e 2.

3. How can I use the GCD of 900, 698, 272, 180Calculator?

Out the numbers 900, 698, 272, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.