GCD of 684, 918, 357, 609 Calculator

Given Input numbers are 684, 918, 357, 609

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 357 :

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

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (684, 918, 357, 609) = 3.

Given numbers are 684, 918, 357, 609

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Prime factors of 357 are 3 x 7 x 17

Prime factors of 609 are 3 x 7 x 29

The highest common occurrence is 3¹

Therefore, GCD of 684, 918, 357, 609 is 3.

Given numbers are 684, 918, 357, 609

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

Apply this formula for all numbers.

Step1:

LCM(684, 918) = 34884

GCD(684, 918) = ( 684 x 918 ) / 34884

= 684 / 918

= 684

Step2:

LCM(18, 357) = 2142

GCD(18, 357) = ( 18 x 357 ) / 2142

= 18 / 357

= 18

Step3:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

So, Greatest Common Divisor of 684, 918, 357, 609 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 499, 514, 260
• GCD of 446, 401, 996, 981
• GCD of 494, 718, 750, 318
• GCD of 722, 617, 270, 461
• GCD of 167, 414, 495, 602

Given numbers are 684, 918, 357, 609
The greatest common divisor of numbers 684, 918, 357, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 918, 357, 609 is 3.

1. What is the GCD of 684, 918, 357, 609?

GCD of given numbers 684, 918, 357, 609 is 3

2. How to calculate the greatest common divisor of 684, 918, 357, 609?

We can find the highest common divisor of 684, 918, 357, 609 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 684, 918, 357, 609 i.e 3.

3. How can I use the GCD of 684, 918, 357, 609Calculator?

Out the numbers 684, 918, 357, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.