GCD of 100, 768, 580, 572 Calculator

Given Input numbers are 100, 768, 580, 572

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (100, 768, 580, 572) = 4.

Given numbers are 100, 768, 580, 572

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2²

Therefore, GCD of 100, 768, 580, 572 is 4.

Given numbers are 100, 768, 580, 572

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

Apply this formula for all numbers.

Step1:

LCM(100, 768) = 19200

GCD(100, 768) = ( 100 x 768 ) / 19200

= 100 / 768

= 100

Step2:

LCM(4, 580) = 580

GCD(4, 580) = ( 4 x 580 ) / 580

= 4 / 580

= 4

Step3:

LCM(4, 572) = 572

GCD(4, 572) = ( 4 x 572 ) / 572

= 4 / 572

= 4

So, Greatest Common Divisor of 100, 768, 580, 572 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 840, 942, 173
• GCD of 672, 230, 207, 122
• GCD of 111, 934, 584, 464
• GCD of 386, 549, 203, 552
• GCD of 247, 993, 272, 905

Given numbers are 100, 768, 580, 572
The greatest common divisor of numbers 100, 768, 580, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 768, 580, 572 is 4.

1. What is the GCD of 100, 768, 580, 572?

GCD of given numbers 100, 768, 580, 572 is 4

2. How to calculate the greatest common divisor of 100, 768, 580, 572?

We can find the highest common divisor of 100, 768, 580, 572 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 100, 768, 580, 572 i.e 4.

3. How can I use the GCD of 100, 768, 580, 572Calculator?

Out the numbers 100, 768, 580, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.