GCD of 600, 704, 596, 540 Calculator

Given Input numbers are 600, 704, 596, 540

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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

GCD of numbers is the greatest common divisor

So, the GCD (600, 704, 596, 540) = 4.

Given numbers are 600, 704, 596, 540

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 596 are 2 x 2 x 149

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

The highest common occurrence is 2²

Therefore, GCD of 600, 704, 596, 540 is 4.

Given numbers are 600, 704, 596, 540

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

Apply this formula for all numbers.

Step1:

LCM(600, 704) = 52800

GCD(600, 704) = ( 600 x 704 ) / 52800

= 600 / 704

= 600

Step2:

LCM(8, 596) = 1192

GCD(8, 596) = ( 8 x 596 ) / 1192

= 8 / 596

= 8

Step3:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4

So, Greatest Common Divisor of 600, 704, 596, 540 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 525, 353, 273
• GCD of 830, 339, 883, 377
• GCD of 713, 903, 611, 566
• GCD of 818, 284, 707, 913
• GCD of 956, 251, 730, 694

Given numbers are 600, 704, 596, 540
The greatest common divisor of numbers 600, 704, 596, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 704, 596, 540 is 4.

1. What is the GCD of 600, 704, 596, 540?

GCD of given numbers 600, 704, 596, 540 is 4

2. How to calculate the greatest common divisor of 600, 704, 596, 540?

We can find the highest common divisor of 600, 704, 596, 540 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 600, 704, 596, 540 i.e 4.

3. How can I use the GCD of 600, 704, 596, 540Calculator?

Out the numbers 600, 704, 596, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.