GCD of 200, 295, 686, 249 Calculator

Given Input numbers are 200, 295, 686, 249

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 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

GCD of numbers is the greatest common divisor

So, the GCD (200, 295, 686, 249) = 1.

Given numbers are 200, 295, 686, 249

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 295 are 5 x 59

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 249 are 3 x 83

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

Given numbers are 200, 295, 686, 249

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

Apply this formula for all numbers.

Step1:

LCM(200, 295) = 11800

GCD(200, 295) = ( 200 x 295 ) / 11800

= 200 / 295

= 200

Step2:

LCM(5, 686) = 3430

GCD(5, 686) = ( 5 x 686 ) / 3430

= 5 / 686

= 5

Step3:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1

So, Greatest Common Divisor of 200, 295, 686, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 240, 186, 966
• GCD of 516, 683, 244, 441
• GCD of 949, 357, 159, 371
• GCD of 254, 156, 334, 938
• GCD of 298, 150, 430, 397

Given numbers are 200, 295, 686, 249
The greatest common divisor of numbers 200, 295, 686, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 295, 686, 249 is 1.

1. What is the GCD of 200, 295, 686, 249?

GCD of given numbers 200, 295, 686, 249 is 1

2. How to calculate the greatest common divisor of 200, 295, 686, 249?

We can find the highest common divisor of 200, 295, 686, 249 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, 295, 686, 249 i.e 1.

3. How can I use the GCD of 200, 295, 686, 249Calculator?

Out the numbers 200, 295, 686, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.