GCD of 357, 648, 300 Calculator

Given Input numbers are 357, 648, 300

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

Divisors of 357 :

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

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (357, 648, 300) = 3.

Given numbers are 357, 648, 300

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 357, 648, 300 is 3.

Given numbers are 357, 648, 300

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

Apply this formula for all numbers.

Step1:

LCM(357, 648) = 77112

GCD(357, 648) = ( 357 x 648 ) / 77112

= 357 / 648

= 357

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 357, 648, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 140, 205
• GCD of 745, 596, 431
• GCD of 327, 178, 676
• GCD of 696, 526, 301
• GCD of 701, 977, 736

Given numbers are 357, 648, 300
The greatest common divisor of numbers 357, 648, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 648, 300 is 3.

1. What is the GCD of 357, 648, 300?

GCD of given numbers 357, 648, 300 is 3

2. How to calculate the greatest common divisor of 357, 648, 300?

We can find the highest common divisor of 357, 648, 300 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 357, 648, 300 i.e 3.

3. How can I use the GCD of 357, 648, 300Calculator?

Out the numbers 357, 648, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.