GCD of 684, 545, 138, 213 Calculator

Given Input numbers are 684, 545, 138, 213

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (684, 545, 138, 213) = 1.

Given numbers are 684, 545, 138, 213

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 545 are 5 x 109

Prime factors of 138 are 2 x 3 x 23

Prime factors of 213 are 3 x 71

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

Given numbers are 684, 545, 138, 213

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

Apply this formula for all numbers.

Step1:

LCM(684, 545) = 372780

GCD(684, 545) = ( 684 x 545 ) / 372780

= 684 / 545

= 684

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 684, 545, 138, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 676, 397, 612
• GCD of 617, 799, 835, 894
• GCD of 715, 560, 960, 399
• GCD of 618, 994, 154, 188
• GCD of 470, 335, 765, 676

Given numbers are 684, 545, 138, 213
The greatest common divisor of numbers 684, 545, 138, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 545, 138, 213 is 1.

1. What is the GCD of 684, 545, 138, 213?

GCD of given numbers 684, 545, 138, 213 is 1

2. How to calculate the greatest common divisor of 684, 545, 138, 213?

We can find the highest common divisor of 684, 545, 138, 213 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 684, 545, 138, 213 i.e 1.

3. How can I use the GCD of 684, 545, 138, 213Calculator?

Out the numbers 684, 545, 138, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.