GCD of 200, 695, 100, 267 Calculator

Given Input numbers are 200, 695, 100, 267

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

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

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 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

GCD of numbers is the greatest common divisor

So, the GCD (200, 695, 100, 267) = 1.

Given numbers are 200, 695, 100, 267

The list of prime factors of all numbers are

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

Prime factors of 695 are 5 x 139

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

Prime factors of 267 are 3 x 89

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

Given numbers are 200, 695, 100, 267

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

Apply this formula for all numbers.

Step1:

LCM(200, 695) = 27800

GCD(200, 695) = ( 200 x 695 ) / 27800

= 200 / 695

= 200

Step2:

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

= 5 / 100

= 5

Step3:

LCM(5, 267) = 1335

GCD(5, 267) = ( 5 x 267 ) / 1335

= 5 / 267

= 5

So, Greatest Common Divisor of 200, 695, 100, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 285, 161, 979
• GCD of 240, 289, 568, 886
• GCD of 348, 295, 613, 752
• GCD of 279, 300, 486, 734
• GCD of 731, 456, 941, 350

Given numbers are 200, 695, 100, 267
The greatest common divisor of numbers 200, 695, 100, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 695, 100, 267 is 1.

1. What is the GCD of 200, 695, 100, 267?

GCD of given numbers 200, 695, 100, 267 is 1

2. How to calculate the greatest common divisor of 200, 695, 100, 267?

We can find the highest common divisor of 200, 695, 100, 267 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 200, 695, 100, 267 i.e 1.

3. How can I use the GCD of 200, 695, 100, 267Calculator?

Out the numbers 200, 695, 100, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.