GCD of 457, 492, 188, 360 Calculator

Given Input numbers are 457, 492, 188, 360

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

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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

GCD of numbers is the greatest common divisor

So, the GCD (457, 492, 188, 360) = 1.

Given numbers are 457, 492, 188, 360

The list of prime factors of all numbers are

Prime factors of 457 are 457

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 188 are 2 x 2 x 47

Prime factors of 360 are 2 x 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 457, 492, 188, 360

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

Apply this formula for all numbers.

Step1:

LCM(457, 492) = 224844

GCD(457, 492) = ( 457 x 492 ) / 224844

= 457 / 492

= 457

Step2:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 457, 492, 188, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 292, 798, 399
• GCD of 817, 885, 968, 614
• GCD of 269, 807, 571, 553
• GCD of 485, 498, 712, 189
• GCD of 160, 379, 636, 226

Given numbers are 457, 492, 188, 360
The greatest common divisor of numbers 457, 492, 188, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 457, 492, 188, 360 is 1.

1. What is the GCD of 457, 492, 188, 360?

GCD of given numbers 457, 492, 188, 360 is 1

2. How to calculate the greatest common divisor of 457, 492, 188, 360?

We can find the highest common divisor of 457, 492, 188, 360 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 457, 492, 188, 360 i.e 1.

3. How can I use the GCD of 457, 492, 188, 360Calculator?

Out the numbers 457, 492, 188, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.