GCD of 145, 412, 360, 364 Calculator

Given Input numbers are 145, 412, 360, 364

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (145, 412, 360, 364) = 1.

Given numbers are 145, 412, 360, 364

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 412 are 2 x 2 x 103

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

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 145, 412, 360, 364

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

Apply this formula for all numbers.

Step1:

LCM(145, 412) = 59740

GCD(145, 412) = ( 145 x 412 ) / 59740

= 145 / 412

= 145

Step2:

LCM(1, 360) = 360

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

= 1 / 360

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 145, 412, 360, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 503, 268, 499
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• GCD of 881, 145, 803, 105
• GCD of 677, 608, 857, 404
• GCD of 845, 887, 953, 423

Given numbers are 145, 412, 360, 364
The greatest common divisor of numbers 145, 412, 360, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 412, 360, 364 is 1.

1. What is the GCD of 145, 412, 360, 364?

GCD of given numbers 145, 412, 360, 364 is 1

2. How to calculate the greatest common divisor of 145, 412, 360, 364?

We can find the highest common divisor of 145, 412, 360, 364 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 145, 412, 360, 364 i.e 1.

3. How can I use the GCD of 145, 412, 360, 364Calculator?

Out the numbers 145, 412, 360, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.