GCD of 100, 200, 731, 354 Calculator

Given Input numbers are 100, 200, 731, 354

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (100, 200, 731, 354) = 1.

Given numbers are 100, 200, 731, 354

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 731 are 17 x 43

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 100, 200, 731, 354

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

Apply this formula for all numbers.

Step1:

LCM(100, 200) = 200

GCD(100, 200) = ( 100 x 200 ) / 200

= 100 / 200

= 100

Step2:

LCM(100, 731) = 73100

GCD(100, 731) = ( 100 x 731 ) / 73100

= 100 / 731

= 100

Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

So, Greatest Common Divisor of 100, 200, 731, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 527, 132, 960
• GCD of 985, 961, 534, 349
• GCD of 123, 704, 669, 401
• GCD of 816, 580, 610, 177
• GCD of 258, 905, 351, 520

Given numbers are 100, 200, 731, 354
The greatest common divisor of numbers 100, 200, 731, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 200, 731, 354 is 1.

1. What is the GCD of 100, 200, 731, 354?

GCD of given numbers 100, 200, 731, 354 is 1

2. How to calculate the greatest common divisor of 100, 200, 731, 354?

We can find the highest common divisor of 100, 200, 731, 354 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, 200, 731, 354 i.e 1.

3. How can I use the GCD of 100, 200, 731, 354Calculator?

Out the numbers 100, 200, 731, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.