GCD of 360, 421, 745, 492 Calculator

Given Input numbers are 360, 421, 745, 492

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

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 421, 745, 492) = 1.

Given numbers are 360, 421, 745, 492

The list of prime factors of all numbers are

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

Prime factors of 421 are 421

Prime factors of 745 are 5 x 149

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

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

Given numbers are 360, 421, 745, 492

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

Apply this formula for all numbers.

Step1:

LCM(360, 421) = 151560

GCD(360, 421) = ( 360 x 421 ) / 151560

= 360 / 421

= 360

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 360, 421, 745, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 556, 690, 623
• GCD of 811, 403, 553, 978
• GCD of 914, 303, 548, 790
• GCD of 958, 130, 145, 645
• GCD of 342, 100, 120, 935

Given numbers are 360, 421, 745, 492
The greatest common divisor of numbers 360, 421, 745, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 421, 745, 492 is 1.

1. What is the GCD of 360, 421, 745, 492?

GCD of given numbers 360, 421, 745, 492 is 1

2. How to calculate the greatest common divisor of 360, 421, 745, 492?

We can find the highest common divisor of 360, 421, 745, 492 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 360, 421, 745, 492 i.e 1.

3. How can I use the GCD of 360, 421, 745, 492Calculator?

Out the numbers 360, 421, 745, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.