GCD of 689, 200, 460, 538 Calculator

Given Input numbers are 689, 200, 460, 538

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (689, 200, 460, 538) = 1.

Given numbers are 689, 200, 460, 538

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 460 are 2 x 2 x 5 x 23

Prime factors of 538 are 2 x 269

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

Given numbers are 689, 200, 460, 538

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, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

So, Greatest Common Divisor of 689, 200, 460, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 261, 541, 710
• GCD of 467, 938, 760, 582
• GCD of 976, 401, 498, 840
• GCD of 475, 717, 141, 246
• GCD of 928, 343, 643, 733

Given numbers are 689, 200, 460, 538
The greatest common divisor of numbers 689, 200, 460, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 200, 460, 538 is 1.

1. What is the GCD of 689, 200, 460, 538?

GCD of given numbers 689, 200, 460, 538 is 1

2. How to calculate the greatest common divisor of 689, 200, 460, 538?

We can find the highest common divisor of 689, 200, 460, 538 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, 460, 538 i.e 1.

3. How can I use the GCD of 689, 200, 460, 538Calculator?

Out the numbers 689, 200, 460, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.