GCD of 940, 324, 300, 258 Calculator

Given Input numbers are 940, 324, 300, 258

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (940, 324, 300, 258) = 2.

Given numbers are 940, 324, 300, 258

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 324 are 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

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 940, 324, 300, 258 is 2.

Given numbers are 940, 324, 300, 258

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

Apply this formula for all numbers.

Step1:

LCM(940, 324) = 76140

GCD(940, 324) = ( 940 x 324 ) / 76140

= 940 / 324

= 940

Step2:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

Step3:

LCM(4, 258) = 516

GCD(4, 258) = ( 4 x 258 ) / 516

= 4 / 258

= 4

So, Greatest Common Divisor of 940, 324, 300, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 885, 316, 386
• GCD of 453, 777, 213, 248
• GCD of 356, 273, 378, 498
• GCD of 451, 826, 768, 329
• GCD of 366, 524, 991, 103

Given numbers are 940, 324, 300, 258
The greatest common divisor of numbers 940, 324, 300, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 324, 300, 258 is 2.

1. What is the GCD of 940, 324, 300, 258?

GCD of given numbers 940, 324, 300, 258 is 2

2. How to calculate the greatest common divisor of 940, 324, 300, 258?

We can find the highest common divisor of 940, 324, 300, 258 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 940, 324, 300, 258 i.e 2.

3. How can I use the GCD of 940, 324, 300, 258Calculator?

Out the numbers 940, 324, 300, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.