GCD of 205, 378, 490, 359 Calculator

Given Input numbers are 205, 378, 490, 359

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

Divisors of 205 :

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

1, 5, 41, 205

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (205, 378, 490, 359) = 1.

Given numbers are 205, 378, 490, 359

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 359 are 359

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

Given numbers are 205, 378, 490, 359

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

Apply this formula for all numbers.

Step1:

LCM(205, 378) = 77490

GCD(205, 378) = ( 205 x 378 ) / 77490

= 205 / 378

= 205

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 205, 378, 490, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 142, 754, 119
• GCD of 811, 708, 731, 530
• GCD of 786, 792, 198, 379
• GCD of 359, 131, 712, 696
• GCD of 535, 432, 790, 968

Given numbers are 205, 378, 490, 359
The greatest common divisor of numbers 205, 378, 490, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 378, 490, 359 is 1.

1. What is the GCD of 205, 378, 490, 359?

GCD of given numbers 205, 378, 490, 359 is 1

2. How to calculate the greatest common divisor of 205, 378, 490, 359?

We can find the highest common divisor of 205, 378, 490, 359 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 205, 378, 490, 359 i.e 1.

3. How can I use the GCD of 205, 378, 490, 359Calculator?

Out the numbers 205, 378, 490, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.