GCD of 584, 669, 772, 100 Calculator

Given Input numbers are 584, 669, 772, 100

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (584, 669, 772, 100) = 1.

Given numbers are 584, 669, 772, 100

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 669 are 3 x 223

Prime factors of 772 are 2 x 2 x 193

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 584, 669, 772, 100

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

Apply this formula for all numbers.

Step1:

LCM(584, 669) = 390696

GCD(584, 669) = ( 584 x 669 ) / 390696

= 584 / 669

= 584

Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 584, 669, 772, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 859, 151, 790
• GCD of 147, 585, 601, 723
• GCD of 917, 104, 191, 525
• GCD of 723, 790, 439, 320
• GCD of 844, 442, 522, 862

Given numbers are 584, 669, 772, 100
The greatest common divisor of numbers 584, 669, 772, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 669, 772, 100 is 1.

1. What is the GCD of 584, 669, 772, 100?

GCD of given numbers 584, 669, 772, 100 is 1

2. How to calculate the greatest common divisor of 584, 669, 772, 100?

We can find the highest common divisor of 584, 669, 772, 100 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 584, 669, 772, 100 i.e 1.

3. How can I use the GCD of 584, 669, 772, 100Calculator?

Out the numbers 584, 669, 772, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.