GCD of 205, 920, 338, 921 Calculator

Given Input numbers are 205, 920, 338, 921

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (205, 920, 338, 921) = 1.

Given numbers are 205, 920, 338, 921

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 338 are 2 x 13 x 13

Prime factors of 921 are 3 x 307

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

Given numbers are 205, 920, 338, 921

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

Apply this formula for all numbers.

Step1:

LCM(205, 920) = 37720

GCD(205, 920) = ( 205 x 920 ) / 37720

= 205 / 920

= 205

Step2:

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

= 5 / 338

= 5

Step3:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

So, Greatest Common Divisor of 205, 920, 338, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 691, 763, 388
• GCD of 263, 866, 521, 544
• GCD of 498, 813, 744, 268
• GCD of 832, 984, 717, 363
• GCD of 298, 272, 263, 192

Given numbers are 205, 920, 338, 921
The greatest common divisor of numbers 205, 920, 338, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 920, 338, 921 is 1.

1. What is the GCD of 205, 920, 338, 921?

GCD of given numbers 205, 920, 338, 921 is 1

2. How to calculate the greatest common divisor of 205, 920, 338, 921?

We can find the highest common divisor of 205, 920, 338, 921 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, 920, 338, 921 i.e 1.

3. How can I use the GCD of 205, 920, 338, 921Calculator?

Out the numbers 205, 920, 338, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.