GCD of 538, 687, 21 Calculator

Given Input numbers are 538, 687, 21

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

Divisors of 538 :

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

1, 2, 269, 538

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

GCD of numbers is the greatest common divisor

So, the GCD (538, 687, 21) = 1.

Given numbers are 538, 687, 21

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 687 are 3 x 229

Prime factors of 21 are 3 x 7

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

Given numbers are 538, 687, 21

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

Apply this formula for all numbers.

Step1:

LCM(538, 687) = 369606

GCD(538, 687) = ( 538 x 687 ) / 369606

= 538 / 687

= 538

Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

So, Greatest Common Divisor of 538, 687, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 865, 40
• GCD of 143, 825, 28
• GCD of 841, 639, 33
• GCD of 391, 275, 27
• GCD of 242, 937, 57

Given numbers are 538, 687, 21
The greatest common divisor of numbers 538, 687, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 687, 21 is 1.

1. What is the GCD of 538, 687, 21?

GCD of given numbers 538, 687, 21 is 1

2. How to calculate the greatest common divisor of 538, 687, 21?

We can find the highest common divisor of 538, 687, 21 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 538, 687, 21 i.e 1.

3. How can I use the GCD of 538, 687, 21Calculator?

Out the numbers 538, 687, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.