GCD of 684, 450, 268, 658 Calculator

Given Input numbers are 684, 450, 268, 658

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 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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (684, 450, 268, 658) = 2.

Given numbers are 684, 450, 268, 658

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 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 268 are 2 x 2 x 67

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 684, 450, 268, 658 is 2.

Given numbers are 684, 450, 268, 658

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

Apply this formula for all numbers.

Step1:

LCM(684, 450) = 17100

GCD(684, 450) = ( 684 x 450 ) / 17100

= 684 / 450

= 684

Step2:

LCM(18, 268) = 2412

GCD(18, 268) = ( 18 x 268 ) / 2412

= 18 / 268

= 18

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 684, 450, 268, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 929, 897, 368
• GCD of 239, 487, 537, 259
• GCD of 496, 466, 262, 692
• GCD of 273, 392, 653, 848
• GCD of 522, 283, 540, 657

Given numbers are 684, 450, 268, 658
The greatest common divisor of numbers 684, 450, 268, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 450, 268, 658 is 2.

1. What is the GCD of 684, 450, 268, 658?

GCD of given numbers 684, 450, 268, 658 is 2

2. How to calculate the greatest common divisor of 684, 450, 268, 658?

We can find the highest common divisor of 684, 450, 268, 658 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, 450, 268, 658 i.e 2.

3. How can I use the GCD of 684, 450, 268, 658Calculator?

Out the numbers 684, 450, 268, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.