GCD of 220, 642, 684, 768 Calculator

Given Input numbers are 220, 642, 684, 768

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (220, 642, 684, 768) = 2.

Given numbers are 220, 642, 684, 768

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 220, 642, 684, 768 is 2.

Given numbers are 220, 642, 684, 768

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

Apply this formula for all numbers.

Step1:

LCM(220, 642) = 70620

GCD(220, 642) = ( 220 x 642 ) / 70620

= 220 / 642

= 220

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 220, 642, 684, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 336, 328, 779
• GCD of 815, 296, 794, 589
• GCD of 846, 311, 857, 628
• GCD of 463, 784, 618, 743
• GCD of 286, 585, 595, 698

Given numbers are 220, 642, 684, 768
The greatest common divisor of numbers 220, 642, 684, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 642, 684, 768 is 2.

1. What is the GCD of 220, 642, 684, 768?

GCD of given numbers 220, 642, 684, 768 is 2

2. How to calculate the greatest common divisor of 220, 642, 684, 768?

We can find the highest common divisor of 220, 642, 684, 768 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 220, 642, 684, 768 i.e 2.

3. How can I use the GCD of 220, 642, 684, 768Calculator?

Out the numbers 220, 642, 684, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.