GCD of 915, 384, 357, 900 Calculator

Given Input numbers are 915, 384, 357, 900

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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

GCD of numbers is the greatest common divisor

So, the GCD (915, 384, 357, 900) = 3.

Given numbers are 915, 384, 357, 900

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

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

Prime factors of 357 are 3 x 7 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 915, 384, 357, 900 is 3.

Given numbers are 915, 384, 357, 900

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

Apply this formula for all numbers.

Step1:

LCM(915, 384) = 117120

GCD(915, 384) = ( 915 x 384 ) / 117120

= 915 / 384

= 915

Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

Step3:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

So, Greatest Common Divisor of 915, 384, 357, 900 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 455, 449, 256
• GCD of 254, 760, 531, 379
• GCD of 109, 122, 907, 980
• GCD of 188, 304, 435, 682
• GCD of 498, 909, 929, 823

Given numbers are 915, 384, 357, 900
The greatest common divisor of numbers 915, 384, 357, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 384, 357, 900 is 3.

1. What is the GCD of 915, 384, 357, 900?

GCD of given numbers 915, 384, 357, 900 is 3

2. How to calculate the greatest common divisor of 915, 384, 357, 900?

We can find the highest common divisor of 915, 384, 357, 900 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 915, 384, 357, 900 i.e 3.

3. How can I use the GCD of 915, 384, 357, 900Calculator?

Out the numbers 915, 384, 357, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.