GCD of 588, 364, 692, 340 Calculator

Given Input numbers are 588, 364, 692, 340

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (588, 364, 692, 340) = 4.

Given numbers are 588, 364, 692, 340

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 692 are 2 x 2 x 173

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2²

Therefore, GCD of 588, 364, 692, 340 is 4.

Given numbers are 588, 364, 692, 340

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

Apply this formula for all numbers.

Step1:

LCM(588, 364) = 7644

GCD(588, 364) = ( 588 x 364 ) / 7644

= 588 / 364

= 588

Step2:

LCM(28, 692) = 4844

GCD(28, 692) = ( 28 x 692 ) / 4844

= 28 / 692

= 28

Step3:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4

So, Greatest Common Divisor of 588, 364, 692, 340 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 121, 713, 775
• GCD of 801, 374, 322, 592
• GCD of 377, 880, 327, 990
• GCD of 783, 315, 138, 378
• GCD of 198, 878, 497, 142

Given numbers are 588, 364, 692, 340
The greatest common divisor of numbers 588, 364, 692, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 364, 692, 340 is 4.

1. What is the GCD of 588, 364, 692, 340?

GCD of given numbers 588, 364, 692, 340 is 4

2. How to calculate the greatest common divisor of 588, 364, 692, 340?

We can find the highest common divisor of 588, 364, 692, 340 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 588, 364, 692, 340 i.e 4.

3. How can I use the GCD of 588, 364, 692, 340Calculator?

Out the numbers 588, 364, 692, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.