GCD of 548, 360, 692, 592 Calculator

Given Input numbers are 548, 360, 692, 592

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

GCD of numbers is the greatest common divisor

So, the GCD (548, 360, 692, 592) = 4.

Given numbers are 548, 360, 692, 592

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 692 are 2 x 2 x 173

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 548, 360, 692, 592 is 4.

Given numbers are 548, 360, 692, 592

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

Apply this formula for all numbers.

Step1:

LCM(548, 360) = 49320

GCD(548, 360) = ( 548 x 360 ) / 49320

= 548 / 360

= 548

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

Step3:

LCM(4, 592) = 592

GCD(4, 592) = ( 4 x 592 ) / 592

= 4 / 592

= 4

So, Greatest Common Divisor of 548, 360, 692, 592 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 450, 208, 859
• GCD of 398, 587, 414, 972
• GCD of 580, 840, 229, 930
• GCD of 441, 373, 730, 332
• GCD of 516, 812, 777, 900

Given numbers are 548, 360, 692, 592
The greatest common divisor of numbers 548, 360, 692, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 360, 692, 592 is 4.

1. What is the GCD of 548, 360, 692, 592?

GCD of given numbers 548, 360, 692, 592 is 4

2. How to calculate the greatest common divisor of 548, 360, 692, 592?

We can find the highest common divisor of 548, 360, 692, 592 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 548, 360, 692, 592 i.e 4.

3. How can I use the GCD of 548, 360, 692, 592Calculator?

Out the numbers 548, 360, 692, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.