GCD of 524, 214, 575, 180 Calculator

Given Input numbers are 524, 214, 575, 180

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (524, 214, 575, 180) = 1.

Given numbers are 524, 214, 575, 180

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 214 are 2 x 107

Prime factors of 575 are 5 x 5 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 524, 214, 575, 180

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

Apply this formula for all numbers.

Step1:

LCM(524, 214) = 56068

GCD(524, 214) = ( 524 x 214 ) / 56068

= 524 / 214

= 524

Step2:

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

= 2 / 575

= 2

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 524, 214, 575, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 117, 633, 377
• GCD of 889, 761, 611, 667
• GCD of 155, 290, 674, 848
• GCD of 210, 144, 400, 676
• GCD of 471, 497, 798, 585

Given numbers are 524, 214, 575, 180
The greatest common divisor of numbers 524, 214, 575, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 214, 575, 180 is 1.

1. What is the GCD of 524, 214, 575, 180?

GCD of given numbers 524, 214, 575, 180 is 1

2. How to calculate the greatest common divisor of 524, 214, 575, 180?

We can find the highest common divisor of 524, 214, 575, 180 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 524, 214, 575, 180 i.e 1.

3. How can I use the GCD of 524, 214, 575, 180Calculator?

Out the numbers 524, 214, 575, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.