GCD of 689, 200, 299, 986 Calculator

Given Input numbers are 689, 200, 299, 986

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (689, 200, 299, 986) = 1.

Given numbers are 689, 200, 299, 986

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 299 are 13 x 23

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 689, 200, 299, 986

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

Apply this formula for all numbers.

Step1:

LCM(689, 200) = 137800

GCD(689, 200) = ( 689 x 200 ) / 137800

= 689 / 200

= 689

Step2:

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

= 1 / 299

= 1

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 689, 200, 299, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 634, 230, 572
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• GCD of 169, 480, 258, 424

Given numbers are 689, 200, 299, 986
The greatest common divisor of numbers 689, 200, 299, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 200, 299, 986 is 1.

1. What is the GCD of 689, 200, 299, 986?

GCD of given numbers 689, 200, 299, 986 is 1

2. How to calculate the greatest common divisor of 689, 200, 299, 986?

We can find the highest common divisor of 689, 200, 299, 986 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 689, 200, 299, 986 i.e 1.

3. How can I use the GCD of 689, 200, 299, 986Calculator?

Out the numbers 689, 200, 299, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.