GCD of 596, 696, 742, 543 Calculator

Given Input numbers are 596, 696, 742, 543

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

Divisors of 596 :

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

1, 2, 4, 149, 298, 596

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 742 :

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

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

Divisors of 543 :

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

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (596, 696, 742, 543) = 1.

Given numbers are 596, 696, 742, 543

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 742 are 2 x 7 x 53

Prime factors of 543 are 3 x 181

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

Given numbers are 596, 696, 742, 543

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

Apply this formula for all numbers.

Step1:

LCM(596, 696) = 103704

GCD(596, 696) = ( 596 x 696 ) / 103704

= 596 / 696

= 596

Step2:

LCM(4, 742) = 1484

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

= 4 / 742

= 4

Step3:

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

= 2 / 543

= 2

So, Greatest Common Divisor of 596, 696, 742, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 402, 810, 201
• GCD of 393, 428, 763, 791
• GCD of 263, 874, 706, 141
• GCD of 107, 269, 780, 646
• GCD of 760, 856, 367, 333

Given numbers are 596, 696, 742, 543
The greatest common divisor of numbers 596, 696, 742, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 696, 742, 543 is 1.

1. What is the GCD of 596, 696, 742, 543?

GCD of given numbers 596, 696, 742, 543 is 1

2. How to calculate the greatest common divisor of 596, 696, 742, 543?

We can find the highest common divisor of 596, 696, 742, 543 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 596, 696, 742, 543 i.e 1.

3. How can I use the GCD of 596, 696, 742, 543Calculator?

Out the numbers 596, 696, 742, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.