GCD of 918, 936, 362, 464 Calculator

Given Input numbers are 918, 936, 362, 464

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

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (918, 936, 362, 464) = 2.

Given numbers are 918, 936, 362, 464

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 362 are 2 x 181

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 918, 936, 362, 464 is 2.

Given numbers are 918, 936, 362, 464

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

Apply this formula for all numbers.

Step1:

LCM(918, 936) = 47736

GCD(918, 936) = ( 918 x 936 ) / 47736

= 918 / 936

= 918

Step2:

LCM(18, 362) = 3258

GCD(18, 362) = ( 18 x 362 ) / 3258

= 18 / 362

= 18

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 918, 936, 362, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 227, 243, 870
• GCD of 372, 610, 864, 885
• GCD of 585, 647, 530, 845
• GCD of 527, 673, 321, 491
• GCD of 279, 140, 175, 700

Given numbers are 918, 936, 362, 464
The greatest common divisor of numbers 918, 936, 362, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 936, 362, 464 is 2.

1. What is the GCD of 918, 936, 362, 464?

GCD of given numbers 918, 936, 362, 464 is 2

2. How to calculate the greatest common divisor of 918, 936, 362, 464?

We can find the highest common divisor of 918, 936, 362, 464 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 918, 936, 362, 464 i.e 2.

3. How can I use the GCD of 918, 936, 362, 464Calculator?

Out the numbers 918, 936, 362, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.