GCD of 684, 352, 354, 450 Calculator

Given Input numbers are 684, 352, 354, 450

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (684, 352, 354, 450) = 2.

Given numbers are 684, 352, 354, 450

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 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 684, 352, 354, 450 is 2.

Given numbers are 684, 352, 354, 450

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

Apply this formula for all numbers.

Step1:

LCM(684, 352) = 60192

GCD(684, 352) = ( 684 x 352 ) / 60192

= 684 / 352

= 684

Step2:

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

= 4 / 354

= 4

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 684, 352, 354, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 261, 541, 378
• GCD of 163, 869, 114, 108
• GCD of 825, 419, 979, 940
• GCD of 792, 764, 190, 580
• GCD of 364, 653, 354, 971

Given numbers are 684, 352, 354, 450
The greatest common divisor of numbers 684, 352, 354, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 352, 354, 450 is 2.

1. What is the GCD of 684, 352, 354, 450?

GCD of given numbers 684, 352, 354, 450 is 2

2. How to calculate the greatest common divisor of 684, 352, 354, 450?

We can find the highest common divisor of 684, 352, 354, 450 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, 352, 354, 450 i.e 2.

3. How can I use the GCD of 684, 352, 354, 450Calculator?

Out the numbers 684, 352, 354, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.