GCD of 540, 188, 742, 693 Calculator

Given Input numbers are 540, 188, 742, 693

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

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (540, 188, 742, 693) = 1.

Given numbers are 540, 188, 742, 693

The list of prime factors of all numbers are

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

Prime factors of 188 are 2 x 2 x 47

Prime factors of 742 are 2 x 7 x 53

Prime factors of 693 are 3 x 3 x 7 x 11

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

Given numbers are 540, 188, 742, 693

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

Apply this formula for all numbers.

Step1:

LCM(540, 188) = 25380

GCD(540, 188) = ( 540 x 188 ) / 25380

= 540 / 188

= 540

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

Step3:

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

= 2 / 693

= 2

So, Greatest Common Divisor of 540, 188, 742, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 349, 693, 956
• GCD of 677, 249, 324, 639
• GCD of 640, 994, 725, 999
• GCD of 919, 297, 355, 809
• GCD of 766, 822, 970, 149

Given numbers are 540, 188, 742, 693
The greatest common divisor of numbers 540, 188, 742, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 188, 742, 693 is 1.

1. What is the GCD of 540, 188, 742, 693?

GCD of given numbers 540, 188, 742, 693 is 1

2. How to calculate the greatest common divisor of 540, 188, 742, 693?

We can find the highest common divisor of 540, 188, 742, 693 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 540, 188, 742, 693 i.e 1.

3. How can I use the GCD of 540, 188, 742, 693Calculator?

Out the numbers 540, 188, 742, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.