GCD of 733, 338, 580, 100 Calculator

Given Input numbers are 733, 338, 580, 100

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

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 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 (733, 338, 580, 100) = 1.

Given numbers are 733, 338, 580, 100

The list of prime factors of all numbers are

Prime factors of 733 are 733

Prime factors of 338 are 2 x 13 x 13

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

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 733, 338, 580, 100

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

Apply this formula for all numbers.

Step1:

LCM(733, 338) = 247754

GCD(733, 338) = ( 733 x 338 ) / 247754

= 733 / 338

= 733

Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1

Step3:

LCM(1, 100) = 100

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

= 1 / 100

= 1

So, Greatest Common Divisor of 733, 338, 580, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 614, 279, 103
• GCD of 560, 150, 395, 269
• GCD of 186, 104, 785, 210
• GCD of 670, 947, 557, 604
• GCD of 956, 604, 395, 383

Given numbers are 733, 338, 580, 100
The greatest common divisor of numbers 733, 338, 580, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 733, 338, 580, 100 is 1.

1. What is the GCD of 733, 338, 580, 100?

GCD of given numbers 733, 338, 580, 100 is 1

2. How to calculate the greatest common divisor of 733, 338, 580, 100?

We can find the highest common divisor of 733, 338, 580, 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 733, 338, 580, 100 i.e 1.

3. How can I use the GCD of 733, 338, 580, 100Calculator?

Out the numbers 733, 338, 580, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.