GCD of 270, 900, 384, 658 Calculator

Given Input numbers are 270, 900, 384, 658

In the factoring method, we have to find the divisors of all numbers

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

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (270, 900, 384, 658) = 2.

Given numbers are 270, 900, 384, 658

The list of prime factors of all numbers are

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 270, 900, 384, 658 is 2.

Given numbers are 270, 900, 384, 658

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

Apply this formula for all numbers.

Step1:

LCM(270, 900) = 2700

GCD(270, 900) = ( 270 x 900 ) / 2700

= 270 / 900

= 270

Step2:

LCM(90, 384) = 5760

GCD(90, 384) = ( 90 x 384 ) / 5760

= 90 / 384

= 90

Step3:

LCM(6, 658) = 1974

GCD(6, 658) = ( 6 x 658 ) / 1974

= 6 / 658

= 6

So, Greatest Common Divisor of 270, 900, 384, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 297, 919, 505
• GCD of 373, 340, 845, 660
• GCD of 681, 725, 740, 190
• GCD of 825, 123, 350, 771
• GCD of 511, 434, 823, 163

Given numbers are 270, 900, 384, 658
The greatest common divisor of numbers 270, 900, 384, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 900, 384, 658 is 2.

1. What is the GCD of 270, 900, 384, 658?

GCD of given numbers 270, 900, 384, 658 is 2

2. How to calculate the greatest common divisor of 270, 900, 384, 658?

We can find the highest common divisor of 270, 900, 384, 658 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 270, 900, 384, 658 i.e 2.

3. How can I use the GCD of 270, 900, 384, 658Calculator?

Out the numbers 270, 900, 384, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.