GCD of 690, 297, 540, 521 Calculator

Given Input numbers are 690, 297, 540, 521

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

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (690, 297, 540, 521) = 1.

Given numbers are 690, 297, 540, 521

The list of prime factors of all numbers are

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

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 521 are 521

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

Given numbers are 690, 297, 540, 521

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

Apply this formula for all numbers.

Step1:

LCM(690, 297) = 68310

GCD(690, 297) = ( 690 x 297 ) / 68310

= 690 / 297

= 690

Step2:

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

= 3 / 540

= 3

Step3:

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

= 3 / 521

= 3

So, Greatest Common Divisor of 690, 297, 540, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 528, 629, 432
• GCD of 117, 716, 788, 645
• GCD of 758, 518, 198, 823
• GCD of 874, 279, 330, 506
• GCD of 592, 315, 740, 136

Given numbers are 690, 297, 540, 521
The greatest common divisor of numbers 690, 297, 540, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 297, 540, 521 is 1.

1. What is the GCD of 690, 297, 540, 521?

GCD of given numbers 690, 297, 540, 521 is 1

2. How to calculate the greatest common divisor of 690, 297, 540, 521?

We can find the highest common divisor of 690, 297, 540, 521 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 690, 297, 540, 521 i.e 1.

3. How can I use the GCD of 690, 297, 540, 521Calculator?

Out the numbers 690, 297, 540, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.