GCD of 366, 429, 918, 564 Calculator

Given Input numbers are 366, 429, 918, 564

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (366, 429, 918, 564) = 3.

Given numbers are 366, 429, 918, 564

The list of prime factors of all numbers are

Prime factors of 366 are 2 x 3 x 61

Prime factors of 429 are 3 x 11 x 13

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

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 366, 429, 918, 564 is 3.

Given numbers are 366, 429, 918, 564

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

Apply this formula for all numbers.

Step1:

LCM(366, 429) = 52338

GCD(366, 429) = ( 366 x 429 ) / 52338

= 366 / 429

= 366

Step2:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 366, 429, 918, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 209, 491, 437
• GCD of 898, 714, 767, 723
• GCD of 138, 177, 130, 887
• GCD of 171, 537, 486, 557
• GCD of 624, 128, 390, 502

Given numbers are 366, 429, 918, 564
The greatest common divisor of numbers 366, 429, 918, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 429, 918, 564 is 3.

1. What is the GCD of 366, 429, 918, 564?

GCD of given numbers 366, 429, 918, 564 is 3

2. How to calculate the greatest common divisor of 366, 429, 918, 564?

We can find the highest common divisor of 366, 429, 918, 564 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 366, 429, 918, 564 i.e 3.

3. How can I use the GCD of 366, 429, 918, 564Calculator?

Out the numbers 366, 429, 918, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.