GCD of 253, 352, 523, 180 Calculator

Given Input numbers are 253, 352, 523, 180

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

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 (253, 352, 523, 180) = 1.

Given numbers are 253, 352, 523, 180

The list of prime factors of all numbers are

Prime factors of 253 are 11 x 23

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 523 are 523

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 253, 352, 523, 180

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

Apply this formula for all numbers.

Step1:

LCM(253, 352) = 8096

GCD(253, 352) = ( 253 x 352 ) / 8096

= 253 / 352

= 253

Step2:

LCM(11, 523) = 5753

GCD(11, 523) = ( 11 x 523 ) / 5753

= 11 / 523

= 11

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 253, 352, 523, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 744, 980, 515
• GCD of 546, 887, 337, 281
• GCD of 892, 960, 642, 737
• GCD of 227, 912, 466, 403
• GCD of 744, 519, 984, 314

Given numbers are 253, 352, 523, 180
The greatest common divisor of numbers 253, 352, 523, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 253, 352, 523, 180 is 1.

1. What is the GCD of 253, 352, 523, 180?

GCD of given numbers 253, 352, 523, 180 is 1

2. How to calculate the greatest common divisor of 253, 352, 523, 180?

We can find the highest common divisor of 253, 352, 523, 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 253, 352, 523, 180 i.e 1.

3. How can I use the GCD of 253, 352, 523, 180Calculator?

Out the numbers 253, 352, 523, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.