GCD of 543, 704, 730, 690 Calculator

Given Input numbers are 543, 704, 730, 690

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

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (543, 704, 730, 690) = 1.

Given numbers are 543, 704, 730, 690

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 730 are 2 x 5 x 73

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 543, 704, 730, 690

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

Apply this formula for all numbers.

Step1:

LCM(543, 704) = 382272

GCD(543, 704) = ( 543 x 704 ) / 382272

= 543 / 704

= 543

Step2:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 543, 704, 730, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 240, 777, 998
• GCD of 893, 214, 486, 563
• GCD of 912, 316, 104, 408
• GCD of 236, 278, 780, 870
• GCD of 473, 470, 135, 453

Given numbers are 543, 704, 730, 690
The greatest common divisor of numbers 543, 704, 730, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 704, 730, 690 is 1.

1. What is the GCD of 543, 704, 730, 690?

GCD of given numbers 543, 704, 730, 690 is 1

2. How to calculate the greatest common divisor of 543, 704, 730, 690?

We can find the highest common divisor of 543, 704, 730, 690 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 543, 704, 730, 690 i.e 1.

3. How can I use the GCD of 543, 704, 730, 690Calculator?

Out the numbers 543, 704, 730, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.