GCD of 900, 680, 918, 270 Calculator

Given Input numbers are 900, 680, 918, 270

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (900, 680, 918, 270) = 2.

Given numbers are 900, 680, 918, 270

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 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 900, 680, 918, 270 is 2.

Given numbers are 900, 680, 918, 270

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

Apply this formula for all numbers.

Step1:

LCM(900, 680) = 30600

GCD(900, 680) = ( 900 x 680 ) / 30600

= 900 / 680

= 900

Step2:

LCM(20, 918) = 9180

GCD(20, 918) = ( 20 x 918 ) / 9180

= 20 / 918

= 20

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 900, 680, 918, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 554, 224, 886
• GCD of 238, 857, 908, 896
• GCD of 554, 893, 880, 264
• GCD of 142, 434, 242, 774
• GCD of 719, 281, 720, 645

Given numbers are 900, 680, 918, 270
The greatest common divisor of numbers 900, 680, 918, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 680, 918, 270 is 2.

1. What is the GCD of 900, 680, 918, 270?

GCD of given numbers 900, 680, 918, 270 is 2

2. How to calculate the greatest common divisor of 900, 680, 918, 270?

We can find the highest common divisor of 900, 680, 918, 270 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, 680, 918, 270 i.e 2.

3. How can I use the GCD of 900, 680, 918, 270Calculator?

Out the numbers 900, 680, 918, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.