GCD of 361, 147, 364, 205 Calculator

Given Input numbers are 361, 147, 364, 205

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (361, 147, 364, 205) = 1.

Given numbers are 361, 147, 364, 205

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 205 are 5 x 41

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

Given numbers are 361, 147, 364, 205

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

Apply this formula for all numbers.

Step1:

LCM(361, 147) = 53067

GCD(361, 147) = ( 361 x 147 ) / 53067

= 361 / 147

= 361

Step2:

LCM(1, 364) = 364

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

= 1 / 364

= 1

Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

So, Greatest Common Divisor of 361, 147, 364, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 693, 689, 635
• GCD of 413, 110, 137, 843
• GCD of 736, 624, 303, 227
• GCD of 812, 290, 608, 632
• GCD of 456, 525, 518, 130

Given numbers are 361, 147, 364, 205
The greatest common divisor of numbers 361, 147, 364, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 147, 364, 205 is 1.

1. What is the GCD of 361, 147, 364, 205?

GCD of given numbers 361, 147, 364, 205 is 1

2. How to calculate the greatest common divisor of 361, 147, 364, 205?

We can find the highest common divisor of 361, 147, 364, 205 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 361, 147, 364, 205 i.e 1.

3. How can I use the GCD of 361, 147, 364, 205Calculator?

Out the numbers 361, 147, 364, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.